I don’t think it will work since usb typically can’t be split and only be switched. But every time you switch the pc will re-add the camera which could cause issues. Plus the cam link only supports hdmi input.
This solution requires only 1 HDMI slot, which comes from the camera. Going into the PC it takes 1 USB A (3.0) each. Bluetooth does not has enough bandwidth to support video and can only be connected to one device at a time.