Is the only rhythm-game aspect that all inputs are/should be delivered to a steady beat for the whole level?
I suppose, though I'm not sure what other aspects there could be
It sounds monotonous when you put it like that but the beat is so fast-paced that you have to think very quickly and try to remember each monster's movement pattern so you don't end up hopping to the same square they do
Like Cybertails said there's also a coin multiplier that you get to keep as long as you stick to the rhythm