No, you shouldn't. Not unless eating gluten bothers you physically.

Going gluten free really sucks. The food isn't as good and it costs twice as much! Want some bread? Pay $5 or $6 for a loaf that's smaller than a $2 loaf of regular white bread, and make sure you toast it before eating it to make it edible (save for 2 kinds I've tried). Not only that, but you have to read the ingredients of everything because gluten likes to hide! Did you know that the second ingredient of Twizzlers is wheat flour? Or did you know that even soy sauce contains gluten? Barbecue sauce sometimes too? Sorry for this rant, but it just really bothers me when people go gluten free for the wrong reasons, and I believe experimenting like you would be is a bad reason.