In Fig. , we show the interaction e κMP2 c (r) for the noncovalently bounded NeAr system at equilibrium . By interaction e κMP2 c (r), we refer to the difference between the e κMP2 c (r) of the NeAr complex and the sum of the e κMP2 c (r) for the individual Ne and Ar atoms. Here, we distinguish os and ss contributions [circles in Fig. ] and their regularized counterparts [squares in Fig. ]. We observe in Fig. that the os component predominantly contributes to binding (negative regions), while the ss component mainly contributes to non-binding (positive regions). The use of κ dampens both binding and non-binding peaks, a trend that is also reflected in interaction energies (see Table in the SI). Similar observations are made in the noncovalently bounded Benzene-Ne complex, for which we visualize 3D binding and non-binding regions in Fig. using a frozen core approximated e κMP2 c (r).