I follow you...I wonder if general body shape might help determine the bias. Specifically, I think RES have a more streamlined appearance, with a projected nose, compared with a BG and their taller shoulders, and more "blunt" nose. I see BG x RES hybrids both ways, but I never thought to try and correlate the red, or lack thereof, on the opercular flap. I have some photos of BRES, I'll look back through them.
Here's one of ours that shows red prominently. Notice that it is more streamlined also.....
