The largest differences between children with normal weight, overweight, and obesity emerged for the variables: weight (p < 0.001), CV (p < 0.001), CV/H (p < 0.001), BMI (p < 0.001), glycemia (p < 0.001), insulin (p < 0.001), HbA1c (p < 0.001), HDL (p = 0.004), TG (p < 0.001), TG/HDL (p < 0.001), AIP (p < 0.001), CRI-I (p < 0.001), CRI-II (p < 0.001), TCBI (p < 0.001), HOMA-IR (p < 0.001), TyG (p < 0.001), TyG-BMI (p < 0.001), TyG-WC (p = 0.030), and TyG-WHtR (p < 0.001). Here, AIP is linked to obesity due to melanocortin 4 receptor deficiency.