INS and Obesity: Adiponectin concentrations could not be increased, but the HF diet, and the HCMP diet decreased baseline adiponectin concentrations and the HP, HF and HCMP diet decreased post‐prandial adiponectin release, which could decrease insulin sensitivity and increase obesity‐related inflammation (André et al., 2017; Bastien et al., 2014; Tvarijonaviciute, Tecles, et al., 2012).