I doubt this holds
In Seattle they tried the same thing with city parks. Got the signs up, etc. I’m not sure anyone even got arrested before it got overruled. The state law allowing carrying weapons trumps anything the city, county, and I imagine State Patrol can come up with.
The State law does have limits of bringing them into bars, schools and court rooms. Private businesses can ban them - but it is only a “ask you to leave” type thing. And if you give them a hard time, then it is a trespassing charge. At the large sporting events (private) one does need to go through a metal detector.