I have done it that way ever since Wyoming made it legal to only take the 4 quarters and the back straps. I also get the inner loins and hardly get a drop of blood on me.

The rib meat dries out as does most of the other trimmings by the time you get them to town. And besides that, if what is left feeds another predator, lion, coyote, bear, wolf, they don't have to kill another living animal to replace it. So it isn't going to waste.