No, not at all. I tried to go yeast free when that was the Thing. It drove me crazy and I couldn't eat anything. I didn't feel any better eliminating yeast and I got depressed from depriving myself. I'm not a self punisher, so I said, "Fuck it" and went back to eating regularly and my health improved with other strategies.
I have real allergies, none of them to gluten (had scratch tests, blood work and had an MD handle the issue) and it limits my diet enough. If I thought I had a problem with gluten, I would go all the way and have both the blood work and the intestinal biopsy to get an accurate reading and diagnosis. I have enough allergies and know they are vacillating enough to know that just short elimination diets won't actually "diagnose" you.
My oldest had a short lived wheat allergy, but it was outgrown. It wasn't severe enough to do an intestinal biopsy. Her blood work showed a mild wheat allergy, and no problem with gluten. A few years of avoiding it and the reactions in her blood and scratch tests were gone. Thank G*d. Years of her having to eat cardboard was bad enough. I couldn't imagine her having to live like that. (Gluten Free was not the Thing back then and finding food for her was difficult.) As it is she HATES rice cakes, as that was what I used as "bread" when she from the time she was a toddler until about 3rd or 4th grade.