If eating gluten-free doesn't make you feel any better, then no, there's no point. There is guarantee that the difference in your antibody levels is due to the gluten-free - nor that high levels of antibodies cause symptoms. Antibodies fluctuate all the time, so not surprising if their number goes down from time to time.
Besides, reducing your antibodies doesn't reduce your Hashi's. It will still be there. Antibodies are not in any way a measure of the severity of Hashi's.
The number of antibodies you have might not be very significant. They serve to identify the cause of your thyroid disease rather than the severity.
If gluten activates antibodies to cause an attack on your thyroid gland which is revealed in variations in blood tests and gives you symptoms you might want to avoid it but if it makes no difference and you don't feel any better then there's no point in maintaining a gluten free diet unless you notice other health benefits.
Content on HealthUnlocked does not replace the relationship between you and doctors or other healthcare professionals nor the advice you receive from them.
Never delay seeking advice or dialling emergency services because of something that you have read on HealthUnlocked.