However I would just mention that with anything "aviation" you get huge chinese whispers and somebody reporting say "an electrical problem" is likely to be "fire in the cockpit" by the time it reaches the fire service coordinator. I once had this (and did report it was sorted by switching off the relevant bits) and got four fire engines, several ambulances, loads of stuff from all over the place. I spoke to them afterwards and indeed the information I passed to ATC when in the air got heavily modified.
Aviation is one of the few places in society (apart maybe from chemical plants) where an emergency, and the details about it, are handed over from one person who trained for this to the next, and most (in some cases all) of the people involved are professionals.
You would expect that if someone at the start of the chain mentions "electrical problem", then that would be passed on as "electrical problem" not "total electric failure" or "electric fire". It's not like your average bloke driving along and seeing smoke/steam coming out of a car, dialing the emergency number and reporting "on fire".
Anyone with more experience in emergency communications who can explain this?
Granted, overkill is better than underkill and hey, if you land at a reasonably-sized field, there is dedicated emergency cover there, with nothing else to do anyway.