Was the name capital of france (paris) taken from the prince of troy (paris), or it's just a coincidence the franks didn't know about?

I mean, much of europe tried to claim legacy and legitmacy from Troy, the romans and greeks did,

heck, even the supposed first ruler of britain was someone from descended from troy as they claim,

or how Charlemagne claim treasure that came from Troy,

or how much of middle east bore a grudge against the greeks for the barbarity they did towards Troy,