Really cool idea!
The controls were too slippery for my tastes, personally - it was very difficult to control, and combined with the platforms going away after a couple bounces, it felt overly-punishing to me. It was also unclear to me visually how many times I could bounce on a platform before it disappeared, which added to the confusion and punishment.
Platform bounces also had the issue of ending up just above a platform, where it felt like 90% of the time I just would die instantly because I couldn't get enough height afterwards, or I would get no height from just glancing off of a platform. Sometimes I'd even hit a platform and then immediately fall through it, and basically waste the jump and the platform, which was frustrating.
I also ran into a bug a couple times where I landed on the paddle or a platform, then instead of bouncing up, I immediately shot straight left and then fell to my death.
It also seems like fastfalling into the paddle itself doesn't give you extra height like it does on platforms, which isn't very intuitive and killed me a few times. This is especially notable when the screen scrolls up so that the paddle is at the same height as a platform you want to use - the paddle tends to take priority in those situations and you waste the paddle without getting any height.
The idea is really cool, and you made this very fast, so great job! But I think it needs some tuning - it's quite difficult to control, and that combined with how easy it is to put yourself in an unwinnable position made a lot of it end up feeling frustrating for me. But with a little bit of tuning, I think those things would not be all too difficult to fix, either.