I think abrogating the property rights of every property owner in exchange for some people getting a shortcut is not a very good trade.
There are legal routes for public agencies to purchase portions of land to create routes for transportation, including pedestrian paths, that ensure you're at least paid for the lost property. If there is a need, then lobbying your mayor or council is the way to go about this. That's a lot less risky than letting anyone enter your property anytime for any reason as long as they say they're on a nature walk or something.
There are legal routes for public agencies to purchase portions of land to create routes for transportation, including pedestrian paths, that ensure you're at least paid for the lost property. If there is a need, then lobbying your mayor or council is the way to go about this. That's a lot less risky than letting anyone enter your property anytime for any reason as long as they say they're on a nature walk or something.