When I use my private room, often I wait for the participant to log on and join the waiting area. I prefer to let them in myself, but that means I need to watch my screen, or I miss it when they request to join.
Why not add a feature that plays a tone when a participant is in the waiting area and ready to join? If you are expecting a large group, you could disable it in settings so it doesn’t keep ringing, or, if you typically do 1-on-1 calls, you can keep it enabled. This would allow the user to work on their computer on a different application/page and then hear a sound when someone is waiting for them.