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.
this have been tried for Chess, and deemed not applicable. Others are allowed to do live coverage of the moves without purchasing any rights. The organizers control the live footage, can ban them from entering the premises to interview players etc., so most will adhere to some form of contract. But if you have no ties there's nothing stopping you from making your own content based on purely the moves being made.
Update: Specifically, the moves are not copyrightable https://chess24.com/en/read/news/us-judge-agrees-with-chess2...
It also mentions "NBA vs. Motorola" in which NBA didn't own statistics of NBA games and others were allowed to use them.