It wasn't videos, those have always linked to a you tube or twitch account and still do. Facebook was for 'easy' screenshot sharing the lazy way. It was crap though since Facebook scaled them down and used horrible compression on top. (Facebook also makes linking pictures a pita) You could also import your Facebook avatar to use on psn, which has also been removed. Twitter has been added instead of Facebook to spam your trophy achievements to in case anyone wants to.
Speculation: As VG247 points out, it is possible that the removal of Facebook integration on PS4 is related to the Cambridge Analytica scandal at Facebook, which pertains to the company's handling of user data. In July, Facebook said in a statement that it was removing PlayStation's access to Facebook friend data "immediately."
It was supposed to be temporary, according to Facebook, until they could negotiate new terms. I guess they couldn't come to an agreement. Good riddance imo.
I updated several dozen videos to youtube from PS4 before the issue.
Ah videos as well then, I always used you tube for those from the start. When I think of face book videos all that comes to mind is low res crappy cell phone captures :) I've never heard of Facebook gaming either. My last post on Facebook was July 9th 2017 yet some people still tell me happy birthday once a year on Facebook. Not that I notice :/ (Just found that out lol)