I admit I'm pretty bad at using controllers, but I just tried it now with a controller and unfortunately it feels mostly the same to me. The only benefit was being able to finesse the analog stick to move very slowly, but it also has no dead-zone so it was quite twitchy.
In case it's of interest, I recently analysed a bunch of successful platformers based on the data in [1], and the jumps in most games are 1.5-2x slower than yours. I think yours could work very well if the levels and platforms were much larger, but at the current scale it's a bit too much for me.