Why are you asking me? Ask the Muslims who cite it. My answer, from an outside perspective, is that simply by describing mohammed's approval and even instruction, many Muslims take it as doctrine. Which is a fact . You can find analogues of this process in Christianity as well. Islam is not only religion with prophets .WHERE in your completely unlinked hadith does Mohammed say it's a religious thing
You were asked where FGM appeared in the Quran and you admitted it does not.
Hadiths do not containe "doctrines". Those are glorified anecdotes. You related one (we have to assume, it's unlinked) that describes Mohammed meeting a cutter. All that proves is that FGM was already extant before Islam was. Which is all very well but we already knew that, except for the bigot brigade who keep insisting it's a religious thing.
You're really grasping at straws here to make a point that cannot be made. I don't get why you're doing that.