Actually, the problem is definitely YouTube in this case. BMF didn't file a claim, YouTube's automated detection flagged it improperly. It's a question of both the accuracy of automated content detection systems AND why YouTube -- despite having no legal obligation -- is bending over backwards for giant record companies.
Because YouTube has been sued several times in both the US and Europe, and if it didn't offer this system, far worse more draconian systems would be legally mandated. YouTube recently lost a case in Germany where the judge imposed a less accurate filter on YouTube: http://www.techdirt.com/articles/20120420/11573918587/huh-to...
This is a regrettable situation, that the OP got caught up in a detection system, but YouTube must do this kind of stuff, otherwise, the courts will mandate it.
I don't know, market forces can be quite persuasive sometimes. If YouTube keeps up this heavy-handed approach, it's bound to lead to a climate of anxiety and resentment amongst its uploaders. In an environment like that, it wouldn't take that many prominent content producers making the switch to Vimeo to trigger a mass exodus.
It's never a bad thing to vote with your feet and no product or service provider should ever take its market prominence for granted.