effect size should be d in the summary

This is displaying theta, from the old (obsolete) Bellec et al 2015 paper. You should directly show d, we don't care about theta (except maybe to compare your results with those of the old paper). 
https://github.com/SIMEXP/ad_sz/blob/418f32358e78d7ec968aaa28e14a2a64d07f0afd/scripts/simulation_tools_v2.py#L197C51-L197C51