In those cases, you follow the diagram in your question using just a black hot and a white neutralplus a ground going to the remote controller in the fan unit itself. Or do I need to replace the new remote receiver unit with a different one that has the third "common out" wire? Blue from remote is capped off. For my switches to work, once I connected the blue wires for the lights together, I also had to connect those two blue wires to the black wire coming from the ceiling in order for the light to have power. Tester Tester k 54 So the white wire on the receiver is capped?
In either case you should wire the white neutral wires together.
How to Wire a Fan & Light With Black, White & Blue Wires
Ideally, I want to leave both wall switches in the on position and control both the fan and light with the remote. But you only need one switch. In many cases the incoming hot line was connected to two switches, one to control the fan and one to control the lights. The fan is a Hunter remote, no chains. Red from ceiling to black from fan and black out of remote. Use the switch that has the black wire on both terminals and ignore the switch that has a red wire on one of the terminals or remove it and cover the opening.