IMO this is why sockets for appliances should never be put on lighting circuits. Sure at the time it might be for just an aerial booster, clock radio, tv etc where it would be inconvenient to chase out the walls because the customer has already decorated or just 'doesn't want' any floorboards lifted, but jump down the line a couple of years to when the furniture has been rearranged, new householder moved in, requirements changed etc, and that extra socket is in a convenient place to plug the hairdrier or vacuum cleaner in (obviously having not been close enough to a socket on a final circuit to spur off), the socket gets changed to a 'normal' BS1363, and hey presto, "nuisance" tripping.
IMO a BS546 round pin plug should only be used on a lighting circuit when it is clearly for a light ONLY and is switched in the same way as the other lights, AND adjacent to a BS1363 so it is no more convenient to use an appliance run from the lighting circuit.