Don't ever think bias is eliminated, it's not. I've already explained this. I asked you how something eternal can end? You didn't answer. Can something that is eternal end? If not, then aion cannot mean eternal because Jesus, Paul, and the other apostles all talk about the end of the aion.
So, what we have is translators saying the aion does not end and Jesus, Paul, and the other apostles, saying it does end. You just have to decide who you're going to believe. Do you believe that modern translators better understand koine Greek than Jesus, Paul, and the other apostles, who actually spoke the language every day? If so, then go on believing it means eternal. However, if you choose to believe, Jesus, Paul, and the other apostles then you're going to have to believe it doesn't mean eternal and figure how to reconcile the different passages. As for me, I believe Jesus, Paul, and the other apostles, had a much better understanding of the language than any scholar today.
What you said in incorrect. The word [αιων] "aion" occurs in the NT 128 times. Do you have any idea how many times "aion" is actually said to end in the N.T. and who said it? Jesus only said the "aion" would end 4 times. The writer of Hebrews said the "aion" would end, only one time.
Matthew 13:39
(39) The enemy that sowed them is the devil; the harvest is the end of the world;[αιων] and the reapers are the angels.
Matthew 13:40
(40) As therefore the tares are gathered and burned in the fire; so shall it be in the end of this world.[αιων]
Matthew 13:49
(49) So shall it be at the end of the world: [αιων] the angels shall come forth, and sever the wicked from among the just,
Matthew 28:20
(20) Teaching them to observe all things whatsoever I have commanded you: and, lo, I am with you alway, even unto the end of the world.[αιων] Amen.
Hebrews 9:26
(26) For then must he often have suffered since the foundation of the world: but now once in the end of the world [αιων] hath he appeared to put away sin by the sacrifice of himself.
In one verse Jesus said of the αιων/aion there shall be no end.
Luke 1:33
(33) And he shall reign [βασιλευσει, verb] over the house of Jacob for ever; [αιων] and of his kingdom βασιλειας, noun] there shall be no end.
In Bauer, Danker, Arndt, Gingrich [BDAG] Greek lexicon the definition of aion is three pages long.
αἰών, ῶνος, ὁ (Hom.+; gener. ‘an extended period of time’, in var. senses)
① a long period of time, without ref. to beginning or end,
ⓐ of time gone by, the past, earliest times, readily
The subsection pertaining to eternity.
ⓑ of time to come which, if it has no end, is also known as eternity (so commonly in Gk. lit. Pla. et al.); εἰς τὸν αἰῶνα (since Isocr. 10, 62, also Diod S 1, 56, 1 εἰς τ. αἰ.=εἰς ἅπαντα τ. χρόνον; 4, 1, 4; SIG 814, 49 and OGI index VIII; POxy 41, 30=‘Long live the Caesars’; PGM 8, 33; 4, 1051 [εἰς αἰ.]; LXX; En 12:6; 102:3; PsSol 2:34, 37; ParJer 8:5; JosAs 15:3 εἰς τὸν αἰῶνα χρόνον 4:10 al. Jos., Ant. 7, 356 [εἰς αἰ.]) to eternity, eternally, in perpetuity: live J 6:51, 58; B 6:3; remain J 8:35ab; 12:34; 2 Cor 9:9 (Ps 111:9); 1 Pt 1:23 v.l., 25 (Is 40:8); 1J 2:17; 2J 2; be with someone J 14:16. Be priest Hb 5:6; 6:20; 7:17, 21, 24, 28 (each Ps 109:4). Darkness reserved Jd 13. W. neg.=never, not at all, never again (Ps 124:1; Ezk 27:36 al.) Mt 21:19; Mk 3:29; 11:14; 1 Cor 8:13. ἕως αἰῶνος (LXX) 1 Cl 10:4 (Gen 13:15); Hv 2, 3, 3; Hs 9, 24, 4. In Johannine usage the term is used formulaically without emphasis on eternity (Lackeit [s. 4 below] 32f): never again thirst J 4:14; never see death 8:51f; cp. 11:26; never be lost 10:28; never (= by no means) 13:8. εἰς τὸν αἰ. τοῦ αἰῶνος (Ps 44:18; 82:18 al.) Hb 1:8 (Ps 44:7). ἕως αἰῶνος (LXX; PsSol 18:11) Lk 1:55 v.l. (for εἰς τὸν αἰ.); εἰς ἡμέραν αἰῶνος 2 Pt 3:18.—The pl. is also used (Emped., Fgm. 129, 6 αἰῶνες=generations; Theocr. 16, 43 μακροὺς αἰῶνας=long periods of time; Philod. περὶ θεῶν 3 Fgm. 84; Sext. Emp., Phys. 1, 62 εἰς αἰῶνας διαμένει; SibOr 3, 767; LXX, En; TestAbr B 7 p. 112, 3 [Stone p. 72].—B-D-F §141, 1), esp. in doxologies: εἰς τοὺς αἰῶνας (Ps 60:5; 76:8) Mt 6:13 v.l.; Lk 1:33 (cp. Wsd 3:8); Hb 13:8. εἰς πάντας τοὺς αἰ. (Tob 13:4; Da 3:52b; En 9:4; SibOr 3, 50) Jd 25b. εὐλογητὸς εἰς τοὺς αἰῶνας to all eternity (cp. Ps 88:53) Ro 1:25; 9:5; 2 Cor 11:31. αὐτῷ ἡ δόξα εἰς τοὺς αἰ. Ro 11:36; ᾧ κτλ. 16:27 (v.l. αὐτῷ). τὸ κράτος εἰς τοὺς αἰ. 1 Pt 5:11; more fully εἰς τοὺς αἰ. τῶν αἰώνων (Ps 83:5; GrBar 17:4; PGM 4, 1038; 22b, 15) for evermore in doxologies Ro 16:27 v.l.; Gal 1:5; Phil 4:20; 1 Ti 1:17; 2 Ti 4:18; Hb 13:21; 1 Pt 4:11; 5:11 v.l.; Rv 1:6, 18; 5:13; 7:12; 11:15 al. 1 Cl 20:12; 32:4; 38:4; 43:6; εἰς πάσας τὰς γενεὰς τοῦ αἰῶνος τῶν αἰ. Eph 3:21 (cp. Tob 1:4; 13:12; En 103:4; 104:5). Of God ὁ ζῶν εἰς τοὺς αἰ. (cp. Tob 13:2; Sir 18:1; Da 6:27 Theod.) Rv 4:9f; 10:6; 15:7; formulaically=eternal 14:11; 19:3; 20:10; 22:5.—κατὰ πρόθεσιν τῶν αἰώνων according to the eternal purpose Eph 3:11. All-inclusive ἀπὸ αἰώνων καὶ εἰς τ. αἰῶνας from (past) eternity to (future) eternity B 18:2 (cp. Ps 40:14 and Ps.-Aristot., De Mundo 7, 401a, 16 ἐξ αἰῶνος ἀτέρμονος εἰς ἕτερον αἰῶνα; M. Ant. 9, 28, 1 ἐξ αἰῶνος εἰς αἰῶνα;SibOr Fgm. 1, 16 of God μόνος εἰς αἰῶνα κ. ἐξ αἰῶνος).
= = = = =
② a segment of time as a particular② a segment of time as a particular unit of history, age
ⓐ ὁ αἰὼν οὗτος (הָעוֹלָם הַזֶּה) the present age (nearing its end)
ⓑ ὁ αἰὼν μέλλων (הָעוֹלָם הַבָּא) the age to come, the Messianic period
③ the world as a spatial concept, the world (
④ the Aeon as a person, the Aeon (