0.01B
I liked the old vaulting but this feels even more awesome! Really nice design changes.
For the ledge holding, you have to press space to climb up. Pressing forward has you move along the ledge towards the direction you're facing. This felt a bit weird to me. I think it might be worth trying to have pressing forward (after a delay) have the player climb up. Pressing space can then allow for the player to do the old vault if they're jumping forward, or do the usual wall jump for any other direction, as seen with the wall hold. But! I can understood if you want to move on from this whole ledge movement thing and come back to it later seeing as how you already revamped it so much.
Secondly, the gun reticle is from what I can tell a bit off. Here's a picture using the default gun you start off with.
I drew a red line of where the line of fire actually goes. It goes to the lower left of the reticle. Is this intended? If you shoot the open air, it never actually reaches the reticle. The guns feel greater otherwise, just the guns need to shoot a little higher to the right or the reticle needs to be not the center of the screen.
That's really it, and these points are minimal compared to the last build. Overall really liking it, I can tell you can make it into a very smoother shooter with the groundwork you have now. Good job!