Getting rid of dark circles can be one of the toughest makeup challenges to overcome. I find that using color-correctors can sometimes work better than concealers because instead of “concealing” the problem area (eg. dark under eye circles), color-correctors “neutralize" the black/blue/purple hues. I don’t think it’s necessary to use color-correctors every day, as regular concealers can do quite a good job. However, if you do have intense, dark under eye circles that need neutralizing, using a color-corrector is definitely a good option.
A color-corrector is meant to be applied underneath makeup and normally not worn on its own. It’s also meant to be used sparingly, because you would also put your regular foundation and concealer on afterwards.