It's been done.[1] Not for American football, for soccer.
[1] https://grail.cs.washington.edu/projects/soccer/soccer_on_yo...
Unless you're getting the raw video stream from all the cameras, it'll be transformed through the producer and director's creative control and that, I suspect, would block you from doing this - it's not longer just "facts", it's a particular interpretation of those "facts" (cf bare recounting of historical events vs someone's book covering the same, I suppose.
I don’t know about that. You’re using the directors production to establish the fact but once you have extruded those facts, it could be argued in principal of not legally that this is a new creative work based off the mere facts.
Consider an analogy to classical music - Beethoven's 5th isn't copyrighted but a particular expression of it by an orchestra can be.