T3 tests are often useful to diagnose hyperthyroidism or to determine the severity of the hyperthyroidism. Patients who are hyperthyroid will have an elevated T3 level. In some individuals with a low TSH, only the T3 is elevated and the FT4 or FTI is normal. T3 testing rarely is helpful in the hypothyroid patient, since it is the last test to become abnormal. Patients can be severely hypothyroid with a high TSH and low FT4 or FTI, but have a normal T3.
https://www.thyroid.org/thyroid-function-tests/
你先生可以按医嘱严格按时按量服用levothyroxine, 观察效果:如果症状真好转很多,应该是个好消息啊。最好是症状完全解除了,虽然我觉得此时也难说。有时药物显示有效是可以帮助做诊断的。你真不容易,抱抱。
还有这个网站能提供不少有关各类化验的信息:
https://labtestsonline.org/tests/free-t3-and-total-t3