I'm not aware of the remote hanging and constantly sending a signal - if I've had such reports before, then I would have just put them down to a stuck button (which has been the case on the ones I've seen).

It's not sending a signal per se, as if from a stuck button. If it were, the LED would be blinking. In the case I've observed (and has been reported a couple of other times here on the BBS), the LED is stuck on steady. It's not modulating any signal at all. Almost as if the internal firmware had locked up in the middle of an "on" pulse.