Congrats on your first jam submission!
Whew that's a Rage platformer with a capital R! I definitely see the Jump King influence, and you nailed it in that regard. However, I made it to the waterfall and had to nope outta there because I was getting too mad haha.
Assuming you prioritize the web swinging mechanic, I think the key to making that more fun would be to have a more open level design that let's you really swing around with more freedom. It was extremely frustrating to get bounced off of the wall and have my web get destroyed.
My other suggestion would be to pivot to a different mechanic entirely: wall-climbing. That way you can navigate through the really tight areas and be allowed to line up your jumps and get that perfect landing that we crave from games like this.
Hope that's helpful!