DEPART:
[868]aphistemi, af-is'-tay-mee; from 575 and 2476; to remove, i.e. (actively) instigate to revolt; usually (reflexively) to desist, desert, etc.:--depart, draw (fall) away, refrain, withdraw self.
I see you simply refuse to get past wrangling over words. When I depart my home to go to the store I do not apostate from my home. I am simply running an errand and will return. However, if I depart from a religion, faith, or belief I renounce that religion, faith, or belief. All of your examples of how the above Greek word is translated signify a change of location, a request that God remove an ailment or instuctions to depart from sin. None of these examples address the issue of departing from the faith, which you say is a set of essential doctrines, which by the way you refuse to list.
Study to show yourselves approved does not mean pull Scripture out of context or ignore anything that might disprove a favorite doctrine. Now lets look at the context of those passages you refuse to accept a showing a genuine believer can loose their faith, which results in the loose of salvation.
Ephesians 1:13-14
13 In whom ye also trusted, after that ye heard the word of truth, the gospel of your salvation: in whom also after that ye believed, ye were sealed with that holy Spirit of promise,
14 Which is the earnest of our inheritance until the redemption of the purchased possession, unto the praise of his glory. KJV
This is all one sentence or thought that is only part of what Paul is teaching. You have chosen to pull a portion of a phrase out of this sentence as the full explanation of what Paul wrote and that (Omega) is pulling Scripture out of context.
Now who is saved?
Romans 10:6-10
6 But the righteousness based on faith speaks thus, "Do not say in your heart, 'Who will ascend into heaven?' (that is, to bring Christ down), 7 or' Who will descend into the abyss?' (that is, to bring Christ up from the dead). " 8 But what does it say? "The word is near you, in your mouth and in your heart"-- that is, the word of faith which we are preaching, 9 that if you confess with your mouth Jesus as Lord, and believe in your heart that God raised Him from the dead, you shall be saved; 10 for with the heart man believes, resulting in righteousness, and with the mouth he confesses, resulting in salvation. NAS
Does Paul believe OSAS? Not at all since in Chapter 11 we read:
Romans 11:22-24
22 Behold then the kindness and severity of God; to those who fell, severity, but to you, God's kindness, if you continue in His kindness; otherwise you also will be cut off. 23 And they also, if they do not continue in their unbelief, will be grafted in; for God is able to graft them in again. 24 For if you were cut off from what is by nature a wild olive tree, and were grafted contrary to nature into a cultivated olive tree, how much more shall these who are the natural branches be grafted into their own olive tree? NAS
Now if Paul believed and taught OSAS the "if you" in Romans 11:22 should read "because you". Large portions of what Paul writes in his epistles are warnings of the consequences of disobedience a fact you have chosen to ignore.
BTW, what you choose to emphasize in Scripture does not mean you are emphasizing what is germane to this thread and is nothing more than screaming rants that are inappropriate for any rational discussion of God’s truth.
Matthew 4:4 But he answered and said, It is written, Man shall not live by bread alone, but by every word that proceedeth out of the mouth of God. KJV
So far all you have done is post what God promises to do in the life of a “genuine believer” and have totally ignored the human element and God is clear that “all have sinned and fall short of His glory” and that includes you, me, and all “genuine believers” as well as those who do not believe.
What is apostasy? Since you criticized me for appealing to a secular dictionary and have chosen to ignore the fact that my opening post contained the definition of “apostasy” from a Bible encyclopedia here is the definition of apostasy from two Bible dictionaries.
APOSTASY. A "falling away." The common classical use of the word has to do with a political defection (Genesis 14:4, LXX; 2 Chronicles 13:6, LXX; Acts 5:37). In the NT its more usual meaning is that of a religious defection (21:21; 4:1; 3:12). This is called "apostasy from the faith" (apostasia a fide): a secession from the church, and a disowning of the name of Christ. Some of its peculiar characteristics are mentioned, such as seducing spirits, doctrines of demons, hypocritical lying, a seared conscience, forbidding of marriage and of meats, a form of godliness without the power (1 Timothy 4:1; 2 Timothy 3:5). The grave nature of apostasy is shown by such passages as Hebrews 10:26-29; 2 Peter 2:15-21, and John 15:22. Apostasy as the act of a professed Christian, who knowingly and deliberately rejects revealed truth regarding the deity of Christ (1 John 4:1-3) and redemption through His atoning sacrifice (Philippians 3:18; 2 Peter 2:1) is different from error, which may be the result of ignorance (Acts 19:1-6), or heresy, which may be the result of falling into the snare of Satan (2 Timothy 2:25-26). Both error and heresy may accordingly be consistent with true faith. On the other hand, apostasy departs from the faith but not from the outward profession of it (2 Timothy 3:5). Apostasy, whether among the angels (Isaiah 14:12-14; Ezekiel 28:15; Jude 6), in Israel (Isaiah 1:1-6; 5:5-7), or in the church (Revelation 3:14-16) is irremediable and awaits judgment. Mankind's apostasy in Adam (Genesis 3:6-7) is curable only through the sacrifice of Christ. Apostates apparently can only be professors and not actual possessors of true salvation, otherwise their defection would incur severe chastening or, if this failed to restore them, untimely (physical) death (1 Corinthians 5:5; 11:32; 1 John 5:16).
M.F.U.
(from The New Unger's Bible Dictionary. Originally published by Moody Press of Chicago, Illinois. Copyright (c) 1988.)
APOSTASY
A falling away from the faith. The nation of Israel fell into repeated backslidings (Jeremiah 5:6, RSV). The prophet Jeremiah predicted the judgment of God upon such disloyalty: "Your wickedness will chasten you, and your apostasy will reprove you" (Jeremiah 2:19, RSV).
Some of the noted apostates in the Bible are: King Saul, who turned back from following the Lord (1 Samuel 15:11); Hymenaeus and Alexander, who "suffered shipwreck" of their faith (1 Timothy 1:19-20); and Demas, who forsook the apostle Paul because he loved this present world (2 Timothy 4:10).
In Acts 21:21 the apostle Paul was described falsely as one who taught the Jews living among the Gentiles to commit apostasy (forsake, NKJV). Second Thessalonians 2:3> declares that the Day of Christ "will not come unless the apostasy comes first" (NASB). This great apostasy will be the time of "the final rebellion against God, when wickedness will be revealed in human form" (2 Thessalonians 2:3, NEB).
Apostasy is generally defined as the determined, willful rejection of Christ and His teachings by a Christian believer (Hebrews 10:26-29; John 15:22). This is different from false belief, or error, which is the result of ignorance. Some Christian groups teach that apostasy is impossible for those persons who have truly accepted Jesus as Savior and Lord.
(from Nelson's Illustrated Bible Dictionary, Copyright (c)1986, Thomas Nelson Publishers)
Moody Press supports OSAS and published the New Unger’s Bible Dictionary, which explains why Unger adds a personal commentary to what the word “apostasy” actually means.
As to my not answering your questions, when are you going to post an answer to my questions? So far you have side stepped every question put to you on this thread in a futile attempt to obfuscate the Lord’s teaching as well as what Paul, Peter, John, and the author of Hebrews plainly teach and that is that some “genuine believers” will fall away and/or become apostate.
In a congregation of 100 people you will have some who are nothing more than sightseerers, some who are weak and can be influenced by false doctrines, some who live an obedient life for decades and some will(like Billy Graham and Mel White) depart from God’s truth and some who will stand on God’s truth even to the loss of their lives. It is this last category who will "endure to the end" all others will be subject to the wrath of God and an eternity in the lake of fire.