Its just a normal letter containing the details on what to expect, its more of a heads-up than a shake down to me. If the billing information is not there and account still continue to use the feature then the account would be disabled or something similar. Question is, should the email have all the if-else situations, probably not feasible.
If you owe someone money and they have any identifying information at all, they can chase the debt in court. Maybe get a lien on your bank account or garnish your wages.
> GitHub Code Quality is available for organization-owned repositories on GitHub Team and GitHub Enterprise Cloud plans.
Both of those are paid plans, so the billing information available. As the message says, this email is not for individual user, but rather for github org admin. I guess someone made the poster an admin, they are receiving admin-only messages and are freaking out now?