I'm not really sure what you're getting at. A lot of figures in mythology have multiple names. Paris/Alexander was one -- but today he's far better known as Paris.

The characters used to write Αλεξανδρος (no accents back then!) are interesting to me. I associated that style of script with much later times. Shows what I know.

Really? I'm Greek and that's the first time I hear about this. Do you have any more info, please?

It's mentioned in the first sentence of https://el.wikipedia.org/wiki/%CE%A0%CE%AC%CF%81%CE%B9%CF%82, the first sentence in the corresponding English article, and early in the corresponding pages in other languages that I checked.

I chased a few references and found the following:

The Iliad: https://www.perseus.tufts.edu/hopper/text?doc=Hom.+Il.+3.16&...

Hyginus, in Latin: https://www.hs-augsburg.de/~harsch/Chronologia/Lspost02/Hygi...

I assume there's more.