Most makeup claims are about how a product feels or how long it lasts, which are hard to verify. Color correction is different: it works on a principle anyone can check on a color wheel, and the effect is immediate and visible. Colors opposite each other cancel. A thin film of the opposite color reduces how much of the unwanted color your eye receives.
Which gives a short, reliable table. Peach and orange cancel blue and purple, which is why they work on under-eye circles and on the blue-gray cast of visible veins. Green cancels red, which is why it works on rosacea, broken capillaries and general flushing. Yellow cancels purple and lifts sallowness, which makes it the most generally useful shade on mature skin and the least talked about. Lavender lifts a yellow or dull cast, which is a real effect and rarely what mature skin needs.
The reason correction matters so much on mature skin specifically is quantity. The alternative to canceling a color is covering it, and covering requires enough opaque pigment to hide the difference — which on an under-eye or a creasing cheek is more product than the skin can carry. Cancel the color first and the covering layer becomes a fraction of what it would have been. Correction is a way to use less concealer, and that is its real value here.
The universal error is dosage. Every corrector, in every shade, should be a veil you can barely see — not a layer. A visible green patch is worse than redness; a visible peach patch is worse than a circle. If you can identify the color on your face, there is too much on, and the fix is always to use less rather than to blend harder.
One thing correction cannot do: fix a texture problem. If what bothers you is a crease or crepiness, correction adds a layer and makes it slightly worse. It is a color tool only.