Legoman, see John 6:51. Note that througought the chapter, aion/aionios is contrasted with that which comes to an end. The implication is clear: Aeonian life is immortal life.
I'll get to the rest of your post later.
Joh 6:51-63 I am the living Bread which descends out of heaven. If anyone should be eating of this Bread, he shall be living for the eon
. Now the Bread also, which I shall be giving for the sake of the life of the world, is My flesh." (52) The Jews, then, fought with one another, saying, "How then can this one give us his flesh to eat? (53) Jesus, then, said to them, "Verily, verily, I am saying to you, If you should not be eating the flesh of the Son of Mankind and drinking His blood, you have no eonian life in yourselves
." (54) He who is masticating My flesh and drinking My blood has life eonian
, and I shall be raising him in the last day
, (55) for My flesh is true food, and My blood is true drink." (56) He who is masticating My flesh and drinking My blood is remaining in Me, and I in him." (57) According as the living Father commissions Me, I, also, am living because of the Father. And he who is masticating Me, he also will be living because of Me." (58) This is the Bread which descends out of heaven. Not according as the fathers ate and died; he who is masticating this Bread shall be living for the eon
." (59) These things He said, teaching in a synagogue in Capernaum." (60) Many of His disciples, then, hearing it, said, "Hard is this saying! Who can hear it? (61) Now Jesus, being aware in Himself that His disciples are murmuring concerning this, said to them, "This is snaring you? (62) If, then, you should be beholding the Son of Mankind ascending where He was formerly - ? (63) The Spirit is that which is vivifying. The flesh is not benefiting anything. The declarations which I have spoken to you are spirit and are life.
"Living for the eon" and "eonian life" refer to the same thing. The eonian life is the life pertaining to the eon in which they shall be living for.
The contrast is not between death and immortality. The contrast is between death and living for the eon to come which is 1000 years duration.
Immortality is a subject never taught by Jesus.
One might suppose by this verse that Jesus taught immortality:
Joh 11:26 And whosoever liveth and believeth in me shall never die. Believest thou this?
But upon closer inspection of the Greek the translators left out a couple of key words. I'll bold them:
Joh 11:26 And everyone who is living and believing in Me, should by no means be dying for the eon
. Are you believing this?
"They live and reign with Christ a thousand years" (Rev.20:4).
No one would try to make "a thousand years" be "eternal" just so they can keep Christ and His followers alive if the thousand years should end. Neither should one change "eon" to "eternity" just so one can keep His followers alive.