@SoccerLocker Thanks for the tips. I used the setup this weekend and can agree with your settings. I didn't get much lag with the PS4 except with the zoom like you mentioned. It turns out my lag before was due to a remote wireless monitor I was using, but now I'm using it via HDMI and no lag.
I ended up getting a Sony AX43 camera to use with this and it works great!
Pro: You can use a shotgun mic, which I use with this camera.
Con; you need to worry about battery life.
I tried the Sony CX405, but the image quality wasn't great and you can't use an external mic.
Pro: You can plug the camera in via USB to an external battery pack.
Con: Image not as good, no 4k and no mic input.
Here is a sample of one of the games from this weekend. I literally bought he A43, on Saturday night before Best Buy closed, came home, charged it, and then brought it to the game in the morning to use. All worked out well fortunately.