Yeah, I think Hakumen will be having more trouble.
People only see his max damage output and forget that his average damage tanked, and his counters got nerfed (blockable, range got nerfed, minus on block, 6D no longer f1 so he can't counter overheads without Yukikaze). He was actually going to be screwed if that OD stuff wasn't discovered.
So it will be the same story. Both will be positioning and spacing, if Haku gets you alone, you are dead, but if you put him between the doll then he's going to have a harder time getting out.