I've made some improvements to the gameplay and the gaps between the ledges. I'm not entirely sure if they will help in your case, but for example, the ceilings won't interrupt your jumps anymore, and you now have to hold down the jump button to hang onto a ledge instead of the arrow buttons so it won't interfere with jump control.
That said, if your problem with the platforming is that it's not twitchy enough, it's that way by design; this is a cinematic platformer.