The word "venison" is used loosely when it comes to cooking. All of these venison recipes work great for any antlered game that you are planning on eating. With that being said, not all antlered game meat is created equal and have their own nuances.
I wouldn't be shocked if brawls were started during debates over whitetail and antelope meat quality between Western and South Eastern hunters. The best way to make the decision on your favorite is to try all of them out for yourself when you can. Many of my friends trade different animal proteins throughout the year, which is a great thing to do if your hunting range is limited.
If you're trying a meat from an animal that you haven't tried yet, it's best to first choose a recipe that lets that ingredient shine and by that I mean a simple recipe. The fewer the ingredients, the more you will taste your prized gold that you worked so hard for. After that go ahead and dive in to all of the recipes.
“A recipe has no soul. You, as the cook, must bring soul to the recipe.”
~ Thomas Keller