The best beef is well aged, and I think vension benfits from it, too. However, it has to be done right. I hung one for 17 days in the hide when we had unusually cold weather, under a cedar tree where the sun never reached, and on two warmer days (over 45) I took it down, wrapped it in a tarp and covered it with leaves until the temp went back down. On the coldest nights, the hide kept it from freezing. The meat was better than usual.
Aging is particularly important if you're lucky enough to kill a mature buck in the rut. They can be pretty strong, but aging at least a week will improve them considerably, in my experience.
If you age hide-on, be sure to field dress immediately, and cool the carcass as quickly as possible. Ice bags in the body cavity will do it.