If you want my 99 cents worth (cos it’s worth more than a pound) I’m not sure that argument of star marked tyres is enforceable, what happens if you get a flat and need a new tyre, but the only one available is not a star marked tyre. Are you going to wait a few days for a special delivery?
The EU have passed a number of laws to protect the consumer from this warranty blackmail, car servicing is one. I’m sure that BMW state in the handbook that star marked are recommended and does not state required.