I haven't had any thyroid issues on TRT. I also began my TRT with a small dose of T3 to drive down RT3. I kept it going longer than I should have though, yet my Thyroid levels look great now while I'm off any T3. If I was taking too much for too long, my thyroid certainly has bounced back according to my recent labs.
Just had them tested a few months back. Been on TRT for a few years now.
labs taken recently with no thyroid meds:
TSH: 1.56 uiu/ml (0.270 - 4.2)
Free T4: 1.57 ng/ml (0.82 - 1.6)
T3 Total: 1.22 ng/ml (0.8-2.00)