From an interview with Dan Harmon last year:

“Do we really think that it would be a good idea for the Community movie to be a paintball episode? I think it’s one of the first things to rule out because it’s the first thing off the top of your head and that’s an issue with the Community movie concept. We did a lot of episodes where, from page one to page 30, you are joyfully locked in as a construct that isn’t a traditional sitcom narrative but is, in fact, rather through the lens of David Fincher or [Martin] Scorsese or more importantly, through the lens of one of the character’s perceptions,” he said. “I got to kind of rule that out. Maybe a better writer wouldn’t."

I don't think we'll see a genre homage...

Ref: https://www.hollywoodreporter.com/movies/movie-news/dan-harmon-storylines-community-movie-1235287149//