The service from liverpool for Doncaster Radar has caused some confusion on occasions. I have called up a few times and the response has been 'Liverpool Radar'.
I've flown in and out of Doncaster many times, and used the Radar service a lot without any problems. The service has always been excellent. The one time that I managed to 'clip' the airspace climbing to quickly out of Sandtoft to the East, I was forgiven quickly when I called the controller after landing.
On the other hand, you have Humberside nearby, where whilst tracking the humber across the ILS have been 'asked' if I would be able to Maintain my course and speed (and of course complied, no reason not to) to see a Fokker 70 pass underneath.
Both systems seem to work though.
The problem I see is that some pilots who really just want to fly and don't have the confidence and interest to deal with controlled airspace / controlled airfields seem to find their activities restricted more and more. I've come across many of these pilots and can see their point as well.