When I went to undergrad school at the University of Montana, we ate whitetail, mule deer, antelope and elk (yes, we even managed to go to class too!). With not much money in our pockets everything seemed to taste good! Maybe someone should do a study to see if the selectiveness of one's taste buds is directly related to one's financial wealth.
I agree that quality of meat has a lot to do with the age, how the animal was handed after it's killed, and what it was mostly feeding on.
But I also feel that people (this is especially true with none hunters that eat/try wild game) eat it and are comparing it to beef. A chicken tastes different than a pig, which tastes different than cow. Why? Because they're different animals. An obvious answer, but I think it gets lost sometimes when we talk about which "tastes" people like best. I've eaten a lot of wild game(especially since my family harvests a lot of it every year), but when I try and compare the taste of big game to beef, it seems to match up this way...........Bison is the closest, followed by moose, elk, whitetail, muleys, and antelope. This is using my taste buds. Someone else might be different. I've never tried axis, blacktail, or sitka so i'm not sure where they'd fall.
To me, I like it all. The "gameyness" of it (properly handed and prepared) is just the different tastes of the different animals. Choice cuts are choice cuts, and overcooking is the way to ruin anyone's like for any wild game. On non-choice cuts, if you like meat that tastes the closet to pot roast beef, the best advice is to can it with a pressure cooker with a little salt and a tsp of onion soup mix. It's unbelievably tender good and beef tasting. Bon Appétit.