Like Toriko, Rave Master exceeds the HST in both average and top tier power. Although with recent revelations about Yhwach and Madara and the like, maybe some of the HST could surpass Rave Master. Not Toriko though. I cant see that happening. As for the fight, 2 things prevent Toriko from losing. 1: Food Honor. Other than boosting all your attributes and accuracy, it gives onservation haki-like precog. Like the latter it isn't a perfect precog but most of the time it prevents fatal injury. The other is the Ultimate Routine aka Conduct of the King. It's really sheer will power. It inflicts damage upon the victim merely by willing it. To say it could work on those much stronger than Toriko is assuming too much, but Haru isn't exactly Goku. Toriko and co. have dealt with continent level creatures both in destruction and durability. I think it could work on Haru.