I agree about the messaging, but in terms of actual security: What about your service provider’s “Bob”?
You have to figure out what you’re threat modeling for, most people aren’t worried about the big SSO providers being breached because it would be expensive to work around them completely.
If you are found to not have done due diligence and have chosen a known vulnerable supplier, you would be seen as equally or more liable compared to having yourself implemented a solution that was found vulnerable.
In fact, I imagine your customers can sue you in the former instance and likely win more easily than in the latter (IANAL).