Yes, the studies I've read on thyroid function during fasting were done in normal people. The changes are quite complex! This study looked at the dynamics of thyroid function during fasting: http://www.ncbi.nlm.nih.gov/pubmed/6403568
Here are some more papers showing the effect of fasting on thyroid function:
http://www.ncbi.nlm.nih.gov/pubmed/6695550 looked at the effects of a 30-hour fast followed by an 800 cal meal in healthy men and showed changes in thyroid function.
http://www.ncbi.nlm.nih.gov/pubmed/12727933 looked at fasting in men
http://www.ncbi.nlm.nih.gov/pubmed/16714386 looked at fasting in women
This study in fasting, mildly obese females suggests that: 1) The transient suppression of serum TSH during early fasting is not TRH mediated. 2) Fasting does not alter plasma TRH levels. 3) A temporal sequence of changes in serum thyroid hormone indices occurs in fasting, this being an initial rise in FT4 (10 h) followed by a fall in both serum TT3/TT4 (12-14 h) and TSH (30-36 h) and finally by a rise in TrT3/TT4 levels (48 h). This sequence of events suggests that the initial inhibition of serum TSH levels in early fasting results from the acute elevation in FT4 levels, and that the reestablishment of normal serum TSH levels with continued fasting is associated with declining serum TT3 levels.
Here are some more papers showing the effect of fasting on thyroid function:
http://www.ncbi.nlm.nih.gov/pubmed/6695550 looked at the effects of a 30-hour fast followed by an 800 cal meal in healthy men and showed changes in thyroid function.
http://www.ncbi.nlm.nih.gov/pubmed/12727933 looked at fasting in men
http://www.ncbi.nlm.nih.gov/pubmed/16714386 looked at fasting in women