First of all, let us settle one thing, when u say that each Eye kg has different purpose, u have to make it clear which purpose is superior to other in most % of situations one (from a single shinobi point of view) may encouter. And I'm not a hater neither am i fanboy of any clan/character, but why would be byakugan superior to sharingan? Imo, sharingan is not or rather said, cannot be inferior to byakugan even in early stages (cuz even if u can see wherewould u want to strike my body to pwn my chakra spots, i can use sharingan to predict those moves and avoid them + counter attack with my knowledge about ur "comming soon" moves based upon my sharingan ) much less in later stages, when u (if u do) unlock better techniques in which u can't even touch me anymore.
Ok, with Byakugan, u can be a better spy or whatever in comparison to Sharingan user , but as much as i've seen & read & deduced, sharingan is superior in 1v1 or rather it's more suitable for
most of
random battles some1 would encouter.
Btw sorry to be a nuisance, but where is it written that Sharingan has been derived from Byakugan? Thanks for answer - i dont know where to look for this certain piece of informations, or better said i wanna know if u can prove that fact