Have you tried using an IR temp gun to check the temps going to the heater intake and the outlet when the valve is both open and closed?
The inlet and outlet heater core hosed read about 110F which is about the same the radiator top hose.
With the valve open the temp drops to the about 80F.
I'm thinking to repair the leaking tube on the firewall (with a section of rubber hose) for the rear heater core to see if I can get some heat out of the rear heater.