Wow, you caught me at work on Saturday.
NFPA 96 7-4.1 Upon activation of any fire extinguishing system for a cooking operation, all sources of fuel and electric power that produce heat to all equipment requiring protection by that system shall automatically shut off.
7-4.2 Any gas appliance not requiring protection, but located under the same ventilating equipment, shall also automatically shut off upon activation of any extinguishing system.
7-4.3 Shutoff devices shall require a manual reset.
Close enough?
What's the outlet for? If it has a waffle iron plugged in (or has the potential) it is included.
the lights you quote do not produce fire causing heat - FM here would say no.
Exhaust fans - hmm, let's think, I've got a fire, so the best thing I can do is to suck it up into a greasy duct and provide fresh air as well, NO, it shuts down when everything else does.
HVAC supply to room, they do not make us do that locally, I can find no code reference to it.
Hope that helps.