You need a good month away from gluten before everything "feels" better. I will say, I am NEVER tired. My post workout soreness is rarely there and if it is, its only there if I'm not moving around the next day. I do eat gluten, but only about once every two weeks or so and I feel like a mess for a day or two afterwards. I have never had allergy issues but I used to get acne on my back, about 3-4 pimples a week on my back and now I get maybe 1 every two weeks.
I'm not really sure what you mean by having time for it to be convenient. How could getting rid of wheat gluten be a big inconvenience? Because you have to prepare more fresh foods? Like has been said before, cook once a week and reheat throughout the week.
Yes, a big part of gluten free diets, at least the paleo diet for example, is the fact that you're replacing grains with other foods that have a lot more nutrients and produce a lot less acids in the body. So it may not be the gluten itself so much as the increase in vitamins and minerals from more veggies and less acid producing grains.
I like how it makes me feel and the science or pseudoscience behind it doesn't really matter to me. Keeping grains out of my diet is the best thing I've ever done.