Has the realization hit you that the only reason any species exists today is because we allow it. Were it not for their fur, meat or other things they provide we’d have no use for them. If cows were not tasty they probably wouldn’t exist. Were it not for the meat, the revenue and other products generated from these hunts they would serve no purpose at all and be nothing but a burden on the environment and most likely just killed off and be gone forever. Most of your African game serve no purpose unless they can generate income. No different than on the ranch here, Mountain Lions and Coyotes are shot on sight, they serve no purpose and actually cost you money.
The meat animals you are suggesting have been bred for the purpose for centuries - they are not large-brained wild animals.
Some people have an aversion to eating horse meat - and I share that. Civilization was built on the backs of horses, and not eating them should be an honor we bestow - not for them, but for our own edification.
I guess you haven’t tried eating an eagle, a mouse, a grasshopper, or CROW.
For some reason, we allow all of those to live and prosper.
Here’s an interesting webcam:
http://www.youtube.com/watch?v=TE6mZED3YGU
(If you get to know them, you may not want to kill them.)