With increasing distance fainter stars, and therefore those of lower luminosity, older populations, become less observable. This means that with increasing distance we actually probe different parts of a Color-Magnitude diagram (CMD), which mainly consists of the brightest and more evolved massive stars. This is best shown in this figure by Annibali & Tosi (2022, “Chemical and stellar properties of star-forming dwarf galaxies” – which is a nice review for the dwarf galaxies).
As of today, with the photometric depth reachable with the most powerful existing instruments, the Horizontal Branch can be detected in galaxies closer than 3-4 Mpc, the Red Clump in galaxies closer than 5-6 Mpc, the RGB in galaxies up to 18-20 Mpc.