YouTube is a free video hosting service whose use does not require you to sign up with or disclose your real identity. It is not "entitlement" to expect it to be what it is.
If you don't realize that's what you're doing when you post content on a web site you don't own, you should. The web was designed specifically so that crap like this wouldn't be a problem. But people want to give up ownership for convenience every single time.
It's easier to be an audience or a user than to take 20 dollars and 20 minutes to learn HTML, buy a domain and become a peer with equal standing on the internet. Take your website, email links to your friends, set up RSS, and you've replaced Facebook, Pinterest, Instagram, Tumbler, Youtube and Flicker with something you actually own and control. And it really isn't that hard.
Case in point, the OP loses her videos for no reason, but the Pirate Bay is still online. Guess who owns their house and who is still renting?
Being upset that the free service that you use is refusing to do stuff for you for nothing is entitlement.
One is conflating "I have a right to do this thing" with "It is right for me to do this thing". There is no such equivalence, and much of the argument seems to come from people who believe there is. There are many things we all have a right to do which are not right to do.
Second, and much more frightening, is the assumption that abuse of a person is acceptable or excusable on the grounds that a person using a free service somehow deserves such abuse for not being a paying customer, or that not being abused is some sort of special privilege of which not all people are deserving. Perhaps you'd like to step back and think a bit about your own ethical framework before continuing this discussion?
The people I know at YouTube are very nice people. They presumably didn't say, "Hey, we'd like to host video for the entire world. And also do our best to fuck them over if they're being harassed." This is a weird corner case, and I hope they'll find a way to rejig their system to prevent this sort of takedown abuse.
Either way, if you're not paying for something, what do you expect.