Wouldn't it make more sense to be dark-skinned in cold climates and light-skinned in hot ones?

Melanin protects from the harmful effects of the sun, but…

Dark surfaces absorb heat and light. Light surfaces reflect heat and light. So does this mean that dark-skinned people are heated up more by the sun? If so, wouldn’t it make more sense to be more “reflective” when you live near the equator and more “absorbent” further from it? (I’m not trying to second-guess evolution here – it just occurred to me that it’s counter-intuitive when you look at it this way. So it’s sort of a rhetorical question but I thought it would be fun to discuss.)