Yes for now, because no proof. King was only hurt without his flame by Zoro.
But if there is a possibility that you can hurt them with flame, it's probably only with adv.coc.
This page where King is bleeding, got edited by anime because Oda wanted :
By this :
Ps : I'm just claiming those things from what we have seen so far in the manga.
But if there is a possibility that you can hurt them with flame, it's probably only with adv.coc.
This page where King is bleeding, got edited by anime because Oda wanted :
By this :
So pretty much if king wasn't dumb he still could have beat zoro