Yes, sorry I realize now I was not clear on that point. Yes, keep the C connection into the camera but at the computer side convert to a USB A via an adapter or hub.
The issue I have found with the R5, unlike most other cameras, is you can not turn off charging via USB-C while tethering in the settings menu. This interferes while tethering and can cause disconnects. All camera manf. recommend turning off USB-C ...