Color is a property of an object, and is independent of both the illuminating light and the receiver (eye).
White light is colorless and clear, enabling you to see the "true" color of an object.
When a colored light illuminates a colored object, the color of the light mixes with the color of the object.
Naove explanations of visual phenomena involving color perception usually involve only the properties of the object being observed, and do not include the properties of the eye-brain system.