I had this with a stair lift, mother's had a hole where you could put a drill with a socket and wind the chair to where required in an emergency. Fathers-in-law's they would not tell me how to release his German stair lift to get it off the stairs, they said to phone their agents, 12 miles away, not sure if he could wait ¾ hour to go to the loo. Not talking about riding on the lift, just getting it off the stairs.
So yes we need to consider all the risks, not simply the risk of getting an electric shock, but my mother's bed is now mine, and it has a special plug with some sort of trip in it, not sure if overload or RCD, but I have come to use the bed, and it would not work because the plug had tripped, however my electric reclining chairs have a pair of PP3 batteries, so one can put it down in the case of a power cut. And if you need to be able to use the bed during a power cut, then the controls should be battery backed, just like the chair.
An RCD FCU or an RCD socket is not super expensive, and as said many times, we can have a DNO power failure, so if you rely on the power, then it should be battery backed, so I have two double RCD sockets, which feed my freezers, I do not feel there is a problem with this, the likelihood of something tripping an RCD built into a socket in error is very slim.
But to say with a risk assessment better to not have an RCD, the supply would need to be uninterruptible to start with. The stair lifts ran off two 12 volt batteries, so they were battery backed, the problem with the German stair lift was there was no warning that it had been unplugged.