In terms of the overall quality, not popularity, I doubt that MC could compete with BaD and CoBD. Only the renders quality is relatevely comparable and the main broads (Caroline, Celia, Liza, Linda) are hot with beautiful eye candy faces and thus competitive, although oversized. Yet the dialogue writing in MC, thanks to a third-party contractor Onyxdime, is mostly decent in form.
MC - a linear grindy (if playing without mods) sandbox without choices with crappy "gameplay" and a mediocre (at best) filler story just to justify lewd scenes, plus, the playable character is a felon and the animations are mediocre too.
BaD and CoBD - non-linear story-driven and characters-centric visual novels based on choices and with decent animations.