Shouldn't be a problem with a modern transponder.
What's annoying to controllers is the inadvertent false selection of any of the emergency squawks, which creates a distraction on screen as most radars flash the code energetically as an attention getter, not very nice when you're busy and concentrating hard.
The solution of course is to make the conspicuity code 1200, like the sensible Americans. Shows that the original selection of 7000 wasn't thought out properly in the first place.
I once suggested to NATS management that it might be sensible to seek a change, this was rejected out of hand, by a manager who had minimal operational experience and couldn't be bothered.