Nice work. It sounds like you have the capacity to play this quickly in you.
I think to continue improving this piece you need to practice slowly and make sure you don't stop/stumble/make mistakes.
I agree that it would make the performance smoother. I still get the feeling that I'm missing something which would prevent me from playing it well at a fast tempo from a technical perspective, even apart from the numerous stumbles in the performance.
The key to all speed is relaxation (watch https://www.youtube.com/watch?v=0PH0SV4j1Es at 2:43-2:50 and compare the 2 persons in the shot.)
I'm not really sure if I do have the capacity to play this quickly, though, if I am being honest. Although I can literally speaking manage the velocity, I'm not able to make all of the notes in the fast passages sound distinct like they do on professional recordings, and am honestly still a bit stumped at how it is done.
Fun comparison with Usain Bolt - and inspiring to be sure, but still somewhat unclear - what would be Bolt's equivalent of finger tapping?