Wrinkle-resistant and non-ironing finishing has nothing to do with this. It means that the fabric (not clothing) is impregnated and dried by resin crosslinking agent, and the crease resistance of cotton fabric is improved through the action of resin (because cotton fabric is easy to wrinkle). The so-called non-ironing means that it can be relatively flat without ironing after washing, and there are no wrinkles.
Therefore, in terms of color fastness, the improvement of color fastness in this sense is because all dyes that are easy to fade are removed after washing, and it is not easy to continue to fade.
However, crease-resistant and non-ironing finishing has nothing to do with color fastness.