Hmmmmmmm.... That's an odd one. It made me do a bit of logical thinking on whether an LED flashlight might or might not be effected. Since a massive RF signal can actually blow out a detector diode in a radio receiver, it would seem possible that an EMP might do the same thing to an LED flashlight. However, I'm going to ignore it and follow my belief that it is highly unlikely. EMP's seem to like to attach themselves to LONG pieces of wire and blow up whatever is attached to it. Everything on all my LED flashlights is pretty much a Faraday shield except the actual LED bulb. If an EMP happens, I'll let you know what happened to my flashlights.
As to the LED lights in my house, I have spares that are not connected to LONG pieces of wire. If they do blow out, I have a whole bunch of extra incandescent bulbs because I'm a prepper.