The name AESOP is almost certainly derived from Ancient Greek "Aithiops" meaning ‘burnt-face' (aithein = burn + ops = face), although it was later taken to mean "dark-skinned".

There's a rap/alternative-esque band called Aesop Rocks.

I don't think there's anything in particular wrong with this name. It looks good, it sounds good, but... it's probably just too archaic now. It just wouldn't translate well in modern day.