Contours for the fraction ϵ of GW signals within the tail of a realistic eccentricity distribution (see text), that have a phase shift with δSNR > 3, here for an example dephasing with n = −13/3. The high-eccentricity tail is defined by a cutoff value e_cut and the results are computed as a function of the dephasing amplitude ﹩{A}_{2}^{10{\rm{H}}z}﹩, here for a representative LVK and CE and ET source consisting of an 8 M_⊙ + 8 M_⊙ binary placed at z = 0.2 and 3, respectively. Note how focusing on the high-eccentricity sources increases the chances of detecting weaker EEs. The binary cumulative distribution as a function of e_cut is overplotted on the contours to highlight the trade-off between the quantity of sources with e_10Hz > e_cut and the detectability boost for EEs in sources with high eccentricity.