Comparing LRG HOD model extensions in both redshift bins. The baseline model refers to the standard vanilla 5-parameter model plus velocity bias and incompleteness. A refers to galaxy assembly bias parametrized in terms of halo concentration. B refers to galaxy assembly bias parametrized in terms of the local environment. s refers to 1-halo satellite profile modulations. The AIC scores suggest that none of the extended models are preferred over the baseline model. More details of the best-fits are given in Table 3.