Hi,
practical experience with me, once new build on existing building, once renovation. In both cases I took out the insurance for about €200.
Case 1: Neighbor WEG wants money from us because damage occurred due to transport vehicles and vibrations. No trade can be assigned, so I am responsible. The liability insurance takes care of it, I haven't heard anything in a year.
Case 2: The property is constantly entered by curious people despite signs and barriers. I check in the morning, at noon, in the evening, and in recent days more often after storms. There are constantly some stones or slats on the ground that must have fallen down. If one of the illegal visitors is hit, I am still responsible. It was not secured sufficiently.
In other words: Do it, I would always take it out again.