Should the last rinse of your face wash be cold water?

There is a saying that finishing your facial cleansing with cold water helps shrink pores.

They say that since this is a temporary contraction rather than a long-term one, it does not have the effect of shrinking pores.

It is said that the proper way to wash your face is to rinse with water slightly cooler than your skin and quickly refine your skin texture with a toner.