Another consideration is that HS is a timed game. It always has been. Jon Bauman had some issues keeping the game moving, so to some viewers, HS might be a bit too slow. Also, the question writing and zingers would've been better than giving everyone multiple choice with no chance for a zinger reply. Gallagher had the best zinger for a question that went something like "Gallagher... you're a handsome male horse, and you want to mate with a gorgeous female cow... if you tried really hard, could you make a baby? Or is that physically impossible?" Gallagher: Well, no, it's not physically impossible, it's just REALLY slow at the races."
I think in a typical single episode, they can fit in maybe 12-13 questions... on the original, Peter and the gang tried for TWICE that many. (At least, on the syndicated version... it wasn't as important for the daytime version since the game straddled.)