I think they covered in the first few episodes where he kept saying "that is not my name, I am not him"
He was linked to him because after his surprise victory in the ring in the first ep.
So, part of it is that he is his own person, free of historical bounds, but "the gods" have granted him the name, will he fulfill the same ?
Or something like that. I don't know, don't really care about those things as much as the structure to the show itself. It's kind of like "Hercules" or "Xena" maybe some linkage to something but not much.