This paper has been out a while, but it explains that for example, when treatment is started by T4 or whatever, TSH takes a while before it responds to the new therapy in coming down from its high value to normality. Also if TSH is very low, it takes a while to respond to treatment. This is just to demonstrate that one shouldn't expect TSH to rapidly respond to treatment and that measurements made too soon after starting treatment can be misleading. Doctors and biochemists should be aware when diagnosing by TSH.
Front. Endocrinol., 14 June 2016 | doi.org/10.3389/fendo.2016....
A Review of the Phenomenon of Hysteresis in the Hypothalamus–Pituitary–Thyroid Axis
Melvin Khee-Shing Leow