It's no joke going GF. It essentially eliminates 90% of things in the supermarket.
But if you used it as shorthand for 'not eating large amounts of UPFs and low nutrition foods whilst increasing high nutrient foods of all types', it can help. Which means not relying on GF substitutes all of the time, it's having a wide range of foods that include protein sources, other carbs and vegetables.
However, what is your eating generally like? Do you have any tendency towards dysfunctional eating patterns? Are you resorting to packets of biscuits to try and increase energy and then feeling crappy afterwards? Because Orthorexia is a thing, as is using restrictive eating to disguise an ED and then bingeing on things like biscuits because you're hungry and malnourished.
You could try it for a short time, say a month, and see whether you feel well. Initially, it's easier to not have the substitutes at all (except for GF pasta - that's nice - the pies, cakes, bread and suchlike are ultimately disappointing), and get your carb intake from rice, potatoes, sweet potatoes, other sweet/starchy veg and fruit, rather than from things in packets. You may also, if it hasn't been checked, supplement with appropriate vitamins and minerals, taking into account your thyroid disease.
In short, GF is not a cure-all for everything. It can be a bit shit, actually, speaking as a Coeliac - especially if somebody says 'Oh, I have to have the gluten free food' and then has a cheese and onion quiche ten minutes later after eating the only GF thing at the buffet before I got there - yes, I am bitter about that.
But if what you're doing is actually changing your dietary intake to prioritise high nutrition, less heavily processed foods that includes all grains except wheat, barley and rye, it might help you feel better.