Based on thinking about what you wrote, I have the following real question (not sarcasm or making a point): if your homeowner's insurance company gave you a $100/year break if you bought a certified "tiger rock" for $300 (that keeps tigers from breaking into your home) would you (actually) buy one? (You can substitute anything else that is obviously non-working, you can assume that corruption leads the policy - insurance actuary in cahoots with tiger rock supplier, whatever.) point is I'm curious if you would do it if absolutely non-working. (To the point where even sale of it is kind of offensive.)
So ultimately yes - I'd buy it as long as it has a positive EV for myself.
Disclaimer: I hate car alarms with a vengeance. I think if a car alarm sounds and does not shut down within ten minutes (automatically or owner's intervention), there should be a large fine (I'd say the value of the car).
You should adjust the car alarm's settings. If you don't, and you happen to live in my neighbourhood, I have a stack of bricks in my back yard, one of which will just about fit through that hole in your windshield.
If there's a problem with the tiger rock (it smells or takes up a lot of room or whatever) then I'll assign a value to the problem and add it to the premium for my calculations. Same thing with the "lock in" effect of having my rock only pay off after three years.
I suppose I could tell them I have a tiger rock when I really don't, but I place a value on integrity, too.