Not all, FO but if they are overrunning the parks and creating a health hazard, they should be terminated, yes.
I can't believe you are advocating that we should leave all trashcans open so the squirrels can rummage in them, potentially spreading disease to the homeless and Waste disposal workers. I guess I put human life above that of a rodent. You probably disagree.
Squirrels have been around for many years and there were no health problems.
All those homeless urinating and defacating all over the place create REAL health hazards.