If the result was the same, what difference would it make if Gintoki's hair started out as black or white?

"You're too kind to offer, but I'll have to decline," he answered demurely, smiling crookedly in an attempt to keep his amusement in. Finally, he selected a box of milk and put it in the basket. Just one for now, because who knew if he'd have the same assistance on the sad walk home?