Welcome @throwaway95 !
I can’t see your videos anymore, but I’ll comment on this:
We’ve evolved a bit in our understanding, and this is not really necessary especially if it feels uncomfortable.
Our best advice for getting started with “fast picking” is to do some experimentation with “tremolo picking”: i.e. grab a single note on a single string and repeat it as fast as you can with alternate picking. Try different ways of holding the pick and placing your hand on the guitar, until you find something reasonably comfortable.
Then, show us what it looks like on video and we’ll take it from there
PS: here is a video showing exactly what I mean: