I have a wroght iron fence so the kitties can walk right through anyway. No privacy fence. I did have a chain link and my last kitty never left the yard. I would tell him to stop when he started to jump the fence and he was so smart he got the idea never to jump over the fence.

I could leave him out in the yard by himself for hours at a time and he would sleep in the bushes and go around the yard getting the smells of everything. Never a problem unless the gate was left open then he would walk out and I had to go find him. That didn't happen much.

Now my two kitties go out but I am supervising them at all times to stay in the yard. If they look like they are about to walk through the fence I go get them fast and bring them back to the patio.