Do you think part of the reason people from cold snowy climates are very pale skinned is camouflage?

I have heard the theory that human beings became whiter as they migrated north thousands of years ago to soak up more vitamin D. But, this morning I was looking at the deer in my backyard. One sign of spring here is the coats of the deer turn from grey to brown. Grey in the winter blends in better with the grey of the woods during the winter months, and brown better with the summer colors of the forrest. I never thought of it before….did human beings evolve their skin color to blend in with our surroundings? To keep us safer during a more primitive time?