Makes sense. On my sony camera (a7iv), it does continuous autofocus in video mode. You don't need to hit the record button - just set the focus mode to AFC (autofocus continuous) and it does its thing.
I also just tried connecting it as a webcam over USB, and it does continuous autofocus when set up like that too. I'm sure it uses more power, but the camera can power itself over the USB port while connected, so thats not a problem.
I also just tried connecting it as a webcam over USB, and it does continuous autofocus when set up like that too. I'm sure it uses more power, but the camera can power itself over the USB port while connected, so thats not a problem.