User blog comment:Tinhboe/Sated Devourer/@comment-24456005-20150627183554/@comment-5266525-20150628102039

The on-hit effect is incrementing the counter on those 3-hit abilities which is what Phantom Hit helps speed up. The on-next-hit effect doesn't work with Phantom Hit (because, well... it's only on the next hit, not the next two hits).