Top: SFR-M_★ plane for different redshifts with galaxies from the final sample from the MIRI run with the regulator SFH. The different lines present quiescence selection from the literature: the sSFR criterion in black; Popesso et al. (2023) in dark blue; Koprowski et al. (2024) in violet; and Mérida et al. (2026) in light blue. The grey crosses represent QGCs selected by the sSFR criterion in the regulator MIRI run, which were not recovered in the no-MIRI run. Bottom: Comparison of the QGCs sample size, depending on the selection criterion and SFH model for the MIRI and no-MIRI runs. The colours of the points represent the MSs and are the same as at top panel. The markers represent SFH model: Regulator (triangle); non-parametric (circles); and delayedBQ (squares). The dashed line shows one-to-one relation. With the shaded regions we mark 30%, 60%, and 100% relative distance from the one-to-one relation.