If I understood your post, you didn't sight level. I know that some of the others who have checked off Rabbit Ears are quite serious about sight leveling in cases like this and figured someone else had done so in the past and found the easier ear higher. I didn't sight level this one. Can anyone else here tell us if they did?
I did not sight level, but I was thinking of doing so to satisfy my own curiosity.
Although I didn't sight level though, I do have a few years of survey experience.
I can say with almost 100% certain that the east ear is higher than the west summit. In the photograph, the distance between Rabbit Ears Peak and the ridge in the background is ~38.27 miles. Even when taking in account the correction calculation for the earth's curvature and refraction, and given the distance and elevation of the ridgeline in the background when looking from one summit to the other and the fact that the camera was held at a higher elevation of the we summit, it should by physically/mathematically impossible that the west summit is higher than the east ear.
Anyway, I wasn't trying to start and argument or diminish your accomplishment in any way (so I hope it didn't come across that way), but only wanted to point out that I believe that the east ear is higher, just in case it becomes of interest in the future with more people chasing the elevation list (such a thing has happened in climbing history in the past, such as those who climb the 8000 meter peaks and there has been controversies of exact high points on peaks such as Dhaulagiri and Cho Oyu, for example). I very much admire what you have accomplished.
To be honest, I am also currently chasing the 10K+ list for those mountain ranges (don't think I'll ever get close to finishing the state though) and was disheartened to find out that the east ear is almost surely higher.