At the end of the day it is still a private company and if it wants to censor or otherwise supress certain types of content it is free to do so. Everyone is also free of course to criticize it for bias and/or use another video sharing site.

Also I don't see the last part about their responsibility in the shooting. Had this been a gun (2nd Amendment) fanatic whose gun demo videos were banned, like many on Reddit prematurely guessed, I don't think anyone would be saying " youtube is responsible for this". Now that it is a woman and she was pro-animal rights suddenly the blame is starting to shift towards YouTube, gun laws, society in general.