Good for her, it's the sustained highly creative output of skilled people that makes Youtube interesting beyond music piracy and memes. They have the power to collectively do the same to any other platform and shouldn't tolerate abuse like this.
Hardly, dmca is straight forward law, take down notice and counter notice has no three strikes. There are penalties for incorrect claims to deter such claims
This is Google's poorly implemented system to satisfy big studio creators to publish on YouTube.
Quitting will just get people to use the next best teacher on youtube that they can find. She can just get the music muted and create a link to her patreon, and tell that Google muted it. Google will lose out on revenue that way for now.
I think it's high time these platforms saw some regulation. It's ridiculous what they are allowed to get away with.