This seems pretty common in British newspapers, even outside facebook. Videos often appear on newspaper's own sites instead of embedding the YouTube video. For example this from the Guardian (http://www.theguardian.com/politics/video/2015/apr/29/ed-mil...). Others are similar and often even have their own pre-rolls.

Channel4 has whole TV programme, Rude Tube (https://en.wikipedia.org/wiki/Rude_Tube), devoted to internet clips, which are all from YouTube AFAIK. I wonder if the creators get any money from that.