Recent evidence from Parker Solar Probe on the suprathermal electrons with Kappa‐type velocity distributions in the outer corona has revived interest in the kinetic‐based macro‐modeling of the solar (SW), aiming to explain its properties. Invoked in kinetic modeling of nonequilibrium plasmas, standard Kappa distributions (SKDs) have been adjusted to the regularized Kappa distributions (RKDs) to fix the inconsistencies of SKD and develop consistent fluid modeling of space plasmas. We propose a new analysis of these properties at large heliocentric distances based on the existence of RKD electrons at the exobase. This new semi‐analytic formalism is inspired by the methodology proposed initially by Meyer‐Vernet and Issautier (1998), https://doi.org/10.1029/98ja02853. Compared to SKDs, the results for RKDs have extended applicability, since all moments can be defined and calculated consistently for all values of the κ parameter, even lower than the critical ones (e.g., κc = 3/2 imposed to the second‐order moment) of SKDs. However, the excess energy of the more energetic suprathermal electrons associated with low values of κ ≲3/2, is regulated by the RKD‐specific cutoff parameter α<1. The estimates for, for example, the temperature and bulk velocity of the SW, remain at realistic values even for small 3/2<κ ≲2, which would otherwise exceed specific observations. One can thus model a higher abundance of suprathermal electrons at the exobase (e.g., κ ⩽3/2), which is plausible for the sources of energetic events (flares and coronal mass ejections), and also in the astrospheres of stars with coronas hotter than the Sun's.