What's your source for that? I read today that they're, for now anyway, keeping the Universal film output deal in place with HBO. This gives HBO a 3-month window to air/stream Universal movies after they debut on BD/DVD.
Until recently, after Universal films exited their 3-month window on HBO, they went to FX for the next 7 years. But I read today that that deal expired at the end of 2019. Starting with Universal films released this year, they'll all now go to Peacock, rather than FX, after they exit the HBO window.
Universal Pictures has been one of the main suppliers of theatrical movies to FX Networks, which several years ago pulled away from off-network series, opting to spend the bulk of its acquisition budget on features instead. The two sides’ most recent deal ran through 2019 and is not getting...
deadline.com
I think HBO's deal with Universal covers all their films released through the end of next year, 2021.
HBO will be able to broadcast Universal and Focus Features new releases into the next decade
www.thewrap.com
After that, who knows if NBCU will renew the deal or choose to make their films exclusive to Peacock. By that time, around 2022, is when NBCU will likely be yanking a lot of their TV stuff from Hulu and making it exclusive to Peacock.
As for 20th Century (formerly Fox) Pictures shifting their films from HBO to Hulu, yes, it's widely expected that they'll do that. Their current deal with HBO expires as the same time as Universal's..