I checked out these two words. They are the same greek word, in one place in Luke 16; but not in the other. The passages are similar in context though.
John 5:24 implies that those who believe have "walked across" from death to life. The word literally means "with foot" but they did it "perfect tense" which means it was an action completed in the past. That to me seems to imply "foreordained unto...." i.e. their action being a result of some factor that was outside of them.
So, given the context of the thread - LOL. "Doctrine not being necessary for salvation" because the impetus upon them to "walk", originated from outside of them. Which in the spiritual sense, if doctrine is to be "learned" usefully unto one's spiritual growth; that only happens because of the enlightening initiated by the Holy Spirit.
I'd venture to guess though based on answers you've given in this thread, that you already know that.
Also though, those who "would choose" to "walk over" (from Abraham's bosom to hell) are "not permitted"; as opposed to it "not being possible" (which is a different Greek word).
Which this brings up an interesting nuance. (Now that the wheels of my brain are spinning.) The question of those "righteous" prior to Christ opening heaven, choosing to transgress post death?
We on this side of Pentecost are possessed of the Holy Ghost, so I could not imagine ever wanting to do that and I do suppose that if someone pre-cross is atoned for, they would not do that either.
Maybe..... some did though? And or maybe a person who lived wickedly most of their life and repented in the end is actually in the lower part of Hades, because their "placement" in the "interim afterlife" prior to opening heaven, was solely based on works?
And maybe THESE are the spirits Christ preached to? (I don't know? Total speculation on my part here but; I could see where that's plausible on that side of the cross.) It's like the angels who fall. Once they've crossed that line, there is no coming back, because there is no redemption for them.
Thought? Let's do some brain bending here. LOL
The other half of that passage in Luke 16 though. Those in "the lower part of Hades" (if that's what this is) are unable to cross the chasm.
So.....