I've eaten a heckuva lot of central Texas whitetail. All of it was good. I've eaten a few west Texas mule deer, and I'd say that those were maybe a bit better, but hard to say why.
I'd rate the rather small amount of elk I've eaten through the years as better than the deer. Not bunches better, but better.
I've only killed and eaten one antelope, killed near Marfa, Texas. It was very good eating and seemed "richer" than deer or elk. Very tasty, but it didn't take all that much for me to feel full.
There is a brushy plant in the area from around Uvalde, Texas, on out past Del Rio that's called "guajilla". Wah--hee-yah. Deer love it. Butchering out the meat, you can smell it. Not a bad smell, though. But it never seems to affect the taste any, compared to the deer from back in the hill country.