Beagle
You are forgetting a small detail: ICAO.
There is NO safety issue with foreign reg planes operating in UK airspace. Lots of people have looked, looked hard because it would suit their agendas, and none was found. I sincerely hope that you are not one of those.
Cars don't come into it. Why don't bikes pay road tax? They use the same road, and they have wheels. Why don't you pay road tax when crossing a road with a pram? It has 4 wheels, so should pay the same road tax as a car.
You actually can drive a foreign reg car in the UK, indefinitely. Just change it every few months