You're arguing a strawman. Were there large signs, fences and gates to suggest it was private? I used to live across the street from a park with public parkin

You're arguing a strawman. Were there large signs, fences and gates to suggest it was private? I used to live across the street from a park with public parking, and a business with a private lot. I saw people park in the private lot all of the time because there was no signage indicating it was private. It never became a problem for anyone, but the point is people make honest mistakes.