It does kinda fit with ancient perspectives on their gods. The Egyptians believed their pharaoh was a living God (or rather he was one of the gods Incarnate, usually Horus), and I think there’s something in the Book of the Dead that mentions that once the Ba has reached the field of Aaru he becomes a living Neter , the book on Sethanic Satanism by Michael W Ford explains that concept a lot better.
The idea of becoming a God isn’t just Egypt though, many Mayan kings were said to be descendants of Gods or living gods, and by drinking the blood of the king the people shared his power (in areas of Vanuatu it’s the same concept except it revolves around cannibalism. My dad stayed with a tribe there for a month many years ago and commented on a custom where tribe members would eat the flesh of a God king, or powerful individual and acquire his/her traits and power).
As far as Classical religion is concerned I’m no expert -despite doing classics at A level… but from what I gather society saw themselves as inferior to the Olympian deities, and had to abide by their will. There isn’t any case that I can think of where a Greek or Roman attempted to do a BALG (Hercules did ascend to Olympian status in the Roman religion but not in the Greek, so take that as you will).
If we take the Sumerians as another example, they had the whole God king thing going on, but they also had a few people who pulled a Gilgamesh on this things ass and went on a quest for immortality lol. I can see where that guy is coming from though, but it was generally specific individuals who were of deific descent who ascended to Godhood. That said, that’s arguably because we don’t really have a good idea of how everyday people practiced their religions, it’s usually only famous people that we know of because they were the ones who were written about.