I don't think car alarms detect these kinds of vibrations. It's specifically tilt and more impactful stuff. Certainly, the alarm is never going off when I get my car back via the lifts that I've used. It's probably too smooth.

Car alarms go off all the time on ferries from cars that really don't like being locked and moved.

Ferries tilt and jolt in a way that predictable-path car lifts don't.

Yes I see this all the time on BC ferries. Usually an Audi or similar

The problem will be aftermarket car alarms. There used to be a car that parked on the street near my apartment that would go off ever time a bus went by it.

Some OEM systems are sensitive too. My mother has a Hyundai that triggers the alarm whenever a heavy truck drives by.

There's even a somewhat famous song about that: https://www.youtube.com/watch?v=6Z-8vy6sPQQ