Finally got around to looking further at this, and courtesy of this I decided to check out the temperature sensor on the drivers side. The video below shows roughly what the temperature sensors look like. Of course, on the Skoda they're an actual PITA to access (particularly the left hand side) so I couldn't swap them over to test them.
https://www.vwvortex.com/threads/right-temperature-flap-fault-code.9458984/
However, I did get check the resistivity and got a reading back of 1345 ohms. Based on the video above, that seems very low, which might mean that the sensor is reading a very high temperature which means that the heating doesn't do anything on the drivers side unless I ask it for full heat.
Replacement sensor ordered, hopefully that'll solve the issue. If it does, I suspect that the error reported above about the error for the left temperature flap could be completely unrelated.