the fact that a country brags more than one leaning tower is a bit concerning.

On the contrary. It speaks for the quality of its buildings in general. Engineering isn't easy, especially if you're doing it with medieval math. Hence things will go wrong. But the leaning buildings in Italy tell me that Italian builders accounted for that and build their structures to last even when things go wrong. Hence it does indeed make me feel safer in any old building that isn't leaning.

Survivor bias, we don't know about all the towers that did in fact lean to far and fell over the centuries.