A good start would be to require that claimants must verify their real identity. The claim in this case was made by an apparent pseudonym and their address is fictional. Both should themselves be reason to reject the claim. The fact that anyone apparently can submit claims to Google under false names seems insane to me.
Who decides what counts as a "real identity"?
Fictional address, sure: that would, as I understand, be some kind of fraud, and can reasonably be prohibited if there's a mechanism to do so… but then you run into the problem that not everyone has an address.
This is another problem with letting private entities be the arbitrator. How is Google supposed to know if Ellie Piee is a real person? It can ask for ID verification of course, but these can be faked, and when that happens there is little Google can do to hold the claimant accountable. A court will certainly have an easier time verifying the identity of the claimant and take action when fraud occurs.