No and no.
If anyone cares: Sprinklers are set off by breaking a little glass vial. The vial is filled with something that boils easily. Typically alcohol. When the vial breaks, the pin drops opening the valve.
Typical cheap house detectors actually use a small source of alpha-particle emitting radiation, like Americium
241 and are really ionization detectors. Now we're going to simplify this a bit: The ionization chamber has two plates separated by a little air space. The power supply (typically battery) gives a little DC voltage to the plates, one plate charged positively and the other negative/ground potential. The alpha particles released by the decay of the Americium-241 knock some electrons off of the atoms in the air that is entering the detector, which ionizes [primarily] the oxygen and nitrogen atoms in the ionization chamber. The positively-charged oxygen and nitrogen atoms are attracted to the negative plate while the electrons released are attracted by the positive plate, and that process generates a tiny electric current.
When smoke enters the ionization chamber, the smoke particles become bound or attached to the ions, thereby neutralizing them, and they aren't attracted to the plate, breaking the cycle. It's this drop in current between the plates which is sensed and ultimately triggers the alarm.
Most home detectors (and also those in the school) would also employ simple heat detection as well, since heat is the precursor to smoke and eventual fire. So they really detect with two modes.
This is why your home detector advises you to dispose of it as hazardous waste. It technically is radiological waste.
The type of detector used by the airlines, to my knowledge, is a photovoltaic device. They shoot a laser at an optical sensor split off in a "T" shape. The amount of voltage generated by the photovoltaic is compared in the clean-air channel of the T to the potentially dirty air channel of the open air sensor. When they are dissimilar by some sliding window, the alarm goes off. The water vapor reflects light in the same way that smoke does, so will trigger this alarm type in much the same way.
Of course, this is from the view of a physics-geek/electrical engineer. If Lonercom chimes in and differs with this assessment in any way - he's correct, I'm wrong. He is, AFAIK, the expert on fire detection here. And Jazzguy is laughing his .... off, being the nuclear physicist here - but I DID note that I simplified for my audience, so "bite me"...