Welcome to HCM. I had gone through your question and understand your concerns.
Please let us know few things.
How long you are having hypothyroidism?
Have you checked the thyroid antibodies
and thyroid ultrasound
If you are having long standing hypothyroidism or your thyroid antibodies are high or your ultrasound thyroid is abnormal - You are probably having permanent hypothyroidism like Hashimoto's hypothyroidism. In those situation these medications are of no use.
Hope I have answered your question. If you have any further questions I will be happy to help.
Dr Ajish TP