Why and how can a person have high thyroid antibodies (hashimotos), hypothyroid symptoms but normal tsh, t3 (liothyronine) and t4? how does the body pull this off?

Thyroiditis: Antithyroid antibodies only suggest that there is an autoimmune reaction towards the thyroid. It takes a fair amount of destruction of the thyroid gland to affect its function.

It tells you that:: Symptoms of hypothyroid are common in other disease states-ie: are non-specific. And antibodies can be present but not injure thyroid enough to increase or decrease thyroid hormone release see md to find out cause of your symptoms.