Now, I know that most people will think that Katakuri is superior to Doffy, and they're probably right. But since both their defeats at Luffy's hands has some noticeable caveats I feel like there could still be some value in discussing how they stack up to one another.
Their power sets are quite different and they've both more or less completely mastered them and they have excellent haki abilities. So at least I don't think it would be a curbstomp.
So yeah, how does Doffy actually do against Katakuri?