It's not so much that Google "screws" Facebook as they changed their policy so that apps can no longer push updates. ALL apps must now be updated through the play store. This title is misleading at best. Facebook is no more screwed by Google than anyone else with an app.
All they have to do is update using Play? Which they usually do anyway? Hardly screwed...
Fairly recently Facebook changed their app to do all updates through the app instead of Play. It's easy to go back to Play but it's not what they usually do anymore, at all.