Contributions of the different ionization sources over z for the models with enhanced Φ_HOLMES. Top-left panel: contributions of different components to the ionizing radiation for the high-Φ_HOLMES ESO 544−27 model. The blue solid line shows the contribution from midplane OB stars, the red solid line shows the contribution from HOLMES, and the cyan and magenta dashed lines show the contribution of transmitted emission from midplane OB stars and HOLMES, respectively. Middle-left panel: same as top-left panel but for the high-Φ_HOLMES PGC 28308 model. Bottom-left panel: same as top-left panel but for the extreme-Φ_HOLMES PGC 28308 model. Right panel: relative contribution of combined HOLMES radiation and transmitted radiation for all of our models ϕ_hard = (Φ_HOLMES + Φ_t)/Φ. The thick cyan curve shows ϕ_hard for the high-Φ_HOLMES ESO 544−27 model. The thick dash-dot red curve shows ϕ_hard for the high-Φ_HOLMES PGC 28308 model. The thick solid red curve shows ϕ_hard for the extreme-Φ_HOLMES PGC 28308 model. The dashed curves show ϕ_hard for the original models. Only models where ϕ_hard approaches unity are able to produce η > −0.5 in the eDIG.