I'd be against it as it would put people off and I believe in freedom of choice. The rule seems arbitrary anyway as I am sure I fall over now more often than I did as a beginner as I am attempting more difficult things, though I suppose it is true that the more you fall the more you learn to fall safely.
John Nicks, the great coach, reckons that the lady in pairs should wear helmets in training because unlike other moves when they are being held overhead they are much less in control, and of course falling from a greater height. One of his pairs had quite a nasty accident I believe.
The notice in the reception window at my local rink says "Ice skating is a dangerous sport, you skate at your own risk".