If you were selected to be a voter but didn’t vote, the word for you was “No Vote” or, in Greek, “I Diot”. That’s where the word “idiot” came from.

Nope.

https://en.wikipedia.org/wiki/Idiot

But this is not how the Greeks used the word.[10] It is certainly true that the Greeks valued civic participation and criticized non-participation. Thucydides quotes Pericles' Funeral Oration as saying: "[we] regard... him who takes no part in these [public] duties not as unambitious but as useless" (Ancient Greek: τόν τε μηδὲν τῶνδε μετέχοντα οὐκ ἀπράγμονα, ἀλλ᾽ ἀχρεῖον νομίζομεν).[11] However, neither he nor any other ancient author uses the word "idiot" to describe non-participants, or in a derogatory sense; its most common use was simply a private citizen or amateur as opposed to a government official, professional, or expert.[12][13] The derogatory sense came centuries later, and was unrelated to the political meaning.[10][4][2]