Qualify your terms.
Retouching generally (amongst professionals) means removing blemishes from a portrait, or dust from a product shot. That’s it.
Color correction means the colors and tonalities are adjusted to satisfy the artists original vision beyond what the camera could replicate from the original scene. Most often, color correction implies setting the final image as close to the original subject as possible. Because no camera records perfect color from original.
Treatments are basically special effects, some might use predefined filters, to accommodate a final “look” that is far away from what the original camera capture provided. Some treatments are hokey, like the holga filter. Some treatments are extremely refined and artistically unique hand made creations. You get what you pay for.