It has once even force pushed to github, which doesn't allow branch protection for private personal projects.
This is only restricted for *fully free* accounts, but this feature only requires a minimum of a paid Pro account. That starts around $4 USD/month, which sounds worth it to prevent lost work from a runaway tool.
That's a fee for not running a local git proxy with permissions enforcement that holds onto the GitHub credentials in place of Claude.
I was on one till recently, maybe I still am. But does it work for orgs? I put some projects under orgs when they become more than a few projects.