You can file a counterclaim, though.
https://support.google.com/youtube/answer/2807684?hl=en
If they don't have a registration, they can't file a lawsuit. So after 10 days, Google will reinstate.
He just went about it in the typical manner of people who act like the people who field these disputes aren't customer service representatives earning $0.50 per hour reading out automated scripts like literal NPCs with no freedom to act whatsoever. When dealing with these kinds of issues you have to realize that it's not personal. It is like getting mad at a voice chat app for misunderstanding you. There is nothing personal about it.
There are a few things that could help to improve this process: force people making claims to verify their identity positively (he does bring this up in his video), improve the technology at the Copyright office to provide both platform owners and copyright owners some method to generate keys that verify that claims are accurate and authorized, and for more people who are victims of false claims to sue the people who are making them.
I think ideally copyright owners would have to go to Copyright.gov, enter the registration number(s) that they own that they want to enforce using the account that made the registration, generate a time-limited key using the system, and then enter that key into their copyright complaint on the platform that they want to police their IP on. When GooFaceZon processes the complaint, they would check with the copyright.gov server to verify that an authorized copyright owner made that complaint within the timeframe provided by the system. That way even if there is some kind of account compromise at some point the damage can be limited.
I don't actually know if that'd be the best system, but something like that would be a great improvement over the current system of being able to make any kind of fake claim with no verification.