Graves Disease
I had Graves Disease diagnosed a few years prior to attempting to obtain a commercial license.
It did not hinder me. I had mine completely ablated via I-131 and was on a full replacement dose of Synthroid/generic that kept my thyroid levels stable and in the normal range.
Looking back, I would have probably preferred to have it partially ablated, so as not to need the daily replacement medications for life.
That being said, as long as I listed "previously reported" on my medical renewals, it never was a problem.
That was 20-some years ago and it has not caused me any major problems. The synthetic thyroid hormones do their job as long as you are diligent in taking them. Even with missed doses, TSH is slow to move, so missing taking them one morning won't have any noticeable impact from my experience.