Can engine mounts break if the car is lifted in the wrong place?

My mom recently took her 2005 Acura RL (with 88k miles if this makes a difference) for a routine service at a local dealer. When they returned the car, the ride was extremely rough and it could not go over bumps without shaking. Turns out they lifted it in the wrong place when doing the oil change. We took the car back and they replaced the struts for free. However, the car still doesn’t go over bumps properly, so we took it back and now they say that the engine mounts are broken. The dealership also said that it will cost around $900 to fix it. Were the engine mounts damaged due to the car being lifted wrong?