Kind of the key question here. Does your local jurisdiction have native species that live in towns and cities that are vulnerable? Some places are different than others. In some places the typical small city bird may even be an introduced species.
In New Zealand for example yes absolutely. Other places maybe not so much...
It is absolutely wild to me how laissez faire Kiwis are about the right to have their cats roam while at the same time being so militant against other mammals (including dogs!).