In steam you can add the tag -nomovies to the start parameter, this does exactly what it sounds like, removes the cut scenes, is this allowed in the any % run ?

In my personal opinion i dont think this should be allowed. but thats my own opinion. its up to the mods to make the determination if its allowed or not. for me its a no go.

Corpse hasn't been around recently (I sort of know why, although vaguely, but not going to talk about it).

If it was up to me - I'd allow it... that is, if we're talking about pre-rendered cutscenes only being automatically skipped. Although, I'd probably define it as a separate variable.