Not sure if it's intended, but you can stick to the walls, probably unintended. Also the double jump off the stairs was a problem for me in my previous games.
I had a lot of fun designing that level! Yep that was an issue I tried minimizing by having empty objects that would kill the player for a majority of walls but I wasn't able to do that for all of them. Hopefully that didn't ruin the experience too much. Thanks for your kind words!