Broken CC won’t mess up your game other than the mod won’t properly display (usually it will disappear entirely, so for example if your sim was wearing a hair mod that broke, they’ll appear bald).
One thing tho, aesthetic CC can break, usually because an update to the game changed something that messed with the mod. The only aesthetic CC I can think of that could potentially cause such problems would maybe be custom sliders, tho I’ve never had problems with this personally. Aesthetic CC like you’re describing won’t mess up your game, only mods that change the game itself can potentially funk things up.
