It's not new to use soda pop in place of/to augment sugar in recipes. Ham glaze favors Coke. I've seen the Brisket/7-up, Brisket/Dr. Pepper, Brisket/Coke recipes. Reduced soda gives you a flavored simple syrup. Coke has small amounts of orange, Pepsi, lemon (if I don't have that backwards). Dr. Pepper has cinnamon and God knows what else. If the profile fits the recipe, have at it.
Consumer chemistry is great. I don't know of any tenderizing effects of carbonated beverages, but papain, the enzyme in pineapple is a natural meat tenderizer. Accent uses it as the main ingredient. Heck, it's so good, it's used to remove dental caries from tooth enamel (eewwwwwww).
Asian pear has a chemical component that tenderizes meats, too.
To answer your question, no. I think I'll stick to apple juice. I love what it does for my Q.