Funny you should mention that. I share the view if inspected and they meet standards, as a certification body SSAIB (not nsi) would be able to say no or they could face trouble however I have my own discussions with SSAIB at the minute where they refuse to give us a badge despite being compliant with a scheme because we aren't doing it in a traditional way.
I pushed back to them on the grounds that as long as it was compliant on what grounds were try saying no. Discussions continuing . . .