Lidar has no problem with snow, only when its _snowing_. However, if visibility is reduced, a pure visual approach is going to be even worse.
Musk made a mistake, and he's spending billions to prove that he never made it.
snow makes HD maps somewhat less useful, as the terrain changes shape. But then, you need a map that evolves. Sadly for musky, the only company that can do that using purely visual data is Scape Technologies. Not even lyft can do that.