If you poll the general public about whether guns ought to be allowed anywhere they are - especially if you preface it with the word "public," a significant amount, especially in gun-unfriendly states, are going to think guns don't belong there.
Do you think guns are appropriate in a PUBLIC PARK?
On a PUBLIC SIDEWALK?
In our PUBLIC LANDS?
One call to your legislator is probably worth 25 poll clicks, at least.