Three endless pages, trying to convince one person that scholars have not been wrong in their interpretation of 'aeonios' all these years, indeed all these 'aeons' (in the modern Greek sense, i.e. centuries)!
'Aeonios' means 'pertaining to the aeon' (not 'the aeons'), i.e. to 'An age of the universe, an immeasurable period of time; the whole duration of the world, or of the universe; eternity' (Oxford English Dictionary). You will read the same definition in Greek dictionaries.
Let me give you another meaning of 'aeon' from the OED:
2. The personification of an age. In Platonic Philos., A power existing from eternity; an emanation, generation, or phase of the supreme deity, taking part in the creation and government of the universe.
1647 H. More Song of Soul Notes 138/1 But Intellect or Æon hath in himself proper Intellectuall life. 1678 Cudworth Intell. Syst. 212 The next considerable appearance of a multitude of self-existent deities seems to be in the Valentinian Thirty Gods and Æons. 1865 Lecky Rationalism I. iii. 228 More commonly she was deemed a personification of a Divine attribute, an individual Æon.
Use this stuff if you like, apocatastasis, but please do not refer any of the people at your forum to this forum here. After all, what Plato meant in Timaeus or what Matthew meant by 'aeonios' (eternal life, eternal punishment) in 25:46 has no effect on our daily lives. Eventually, we each choose our own interpretation of God and of whether there is eternal life or not.