Yes, fatigue is a common side effect of GLP-1 medications
While this is a very dated way of looking at health, medically, a BMI of 30 or higher or a BMI of 27 or higher with at least one weight-related comorbidity (such as type 2 diabetes, high blood pressure or high cholesterol) makes you a candidate
Smart NG, Apelqvist AA, Gu X, Harmon EB, Topper JN, MacDonald RJ, Kim SK
The genetic architecture of central appetite control, variants near MC4R , POMC , LEPR , NPY , has been mapped well enough to suggest plausible response heterogeneity
Furthermore, there was no significant correlation between change in the GSRS sub scores and change in GLP-1 levels (scatterplots, correlation coefficients and p values for each sub score is presented in Supplementary material)