SGWB from extragalactic DWDs with additional COSMIC models to mimic the different physical prescriptions applied in SeBa. The blue scatter points indicate the standard case, with our default COSMIC model and SFRD from Madau & Dickinson (2014). The red stars correspond to the alpha4 model. The orange ones correspond to the SGWB obtained when fixing in COSMIC the CE efficiency parameter to α = 4 and the binding energy factor of a star to its envelope to a constant value λ = 0.5. The green ones are obtained when using these same fixed values for α and λ, and modifying in COSMIC the criterion for mass transfer stability to resemble the one in SeBa. Additional curves represent the LISA sensitivity, the PI curve, and the confusion noise from Galactic DWDs. The pink curve indicates the best-fit model of the SGWB from extragalactic DWDs estimated in Staelens & Nelemans (2024).