I can't say anything about 2* haku as mine is 4 star (which is the 3* variant, they are technically different, thou skill looks the same)
But I've just tested 3* Haku and it does work with suigetsu and zabuza/zabuza clone.
Was going to test with kisame too, but I realized that kisame's damage might be thrown off for the fact that 20 chakra was used.
It didn't quite reach 40% damage increase, more like 30-35%, but that might be due to other stat effect(attack % increase might not translate to damage%) or whatever. I was wind main with empress talent thou, so should have no effect from main onto the tested ninja.
I don't have tamari to do test there....