Small differences in thyroid function may be important for body mass index and the occurrence of obesity in the population.

By N. Knudsen, P. Laurberg, L. B. Rasmussen, I. Bülow, H. Perrild, L. Ovesen, T. Jørgensen. Journal of Clinical Endocrinology and Metabolism, 2005

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The clinical significance of subclinical thyroid dysfunction. (2008, background): “The results of this study suggest that even slightly elevated serum TSH levels are important in determining body weight in the population (34).”
Clinical Practice Guidelines for Hypothyroidism in Adults: Cosponsored by the American Association of Clinical Endocrinologists and the American Thyroid Association (2012, neutral): “Some observational studies correlate TSH levels with body mass index (243–245) while others do not (246).”
Thyroid hormone regulation of metabolism. (2014, background): “In healthy individuals, variations in serum TSH, even within the reference range, are associated with body weight and body weight change in both men and women (80, 143).”
Obesity in autoimmune diseases: not a passive bystander. (2014, background): “Some authors initially postulated that thyroid dysfunction was responsible for obesity [347].”