Analytic and simulation predictions for ﹩{\tilde{Y}}_{{\rm{200}}}﹩ vs. log₁₀(M_halo). The analytic prediction for P_th-dominated halos (purple solid line) lies factors of several times above the upper limits and star-forming or quenched detections at low and high M_halo of S. Das et al. (2025; black triangles, diamonds, and circles), whereas predictions for P_CR-dominated halos (green solid lines) can lie along the observations at low and high M_halo, though the intermediate mass datapoints log₁₀(M_halo) ∈ [12.3–12.6] are in between analytic predictions. Similarly, P_th-dominated simulations like SIMBA (gold dotted lines) and TNG (red dashed lines) generally overpredict ﹩{\tilde{Y}}_{{\rm{200}}}﹩ for quenched and star-forming galaxies by over a dex. Meanwhile, P_CR-dominated FIRE simulations (m12i,f,m in order of M_halo; green crosses) are in agreement with upper limits, whereas the same halos without CRs, instead P_th dominated (purple plus signs), lie above.