Accretion temperature 〈T_acc〉 as set by the rate ﹩{\dot{M}}_{{\rm{p}},\,{\rm{direct}}}﹩ shocking on the surface of the planet (open circles), compared to the interior temperature T_int in the population synthesis (open diamonds). Point colors show ﹩{\dot{M}}_{\,\rm{pop synth}\,}﹩ as in the other plots, but we omit the two weakest accretor bins in gray. The T_int of the strongest accretors could not be calculated (see the text), but this leaves unchanged the conclusion that T_int ≫ 〈T_acc〉 for each planet.