Important if you have a carburetor and a suction fuel pump. Less so if you have one or the other, or fuel injection. The suction of the fuel pump causes a partial vacuum which makes winter gas boil and vapor lock. FI cars usually have a high pressure line from the tank that keeps vapor lock down. Outdoor power equipment with gravity feeds don't vapor lock too much but still do well with the best freshest in season gas you can get.
Even with FI, summer gas doesn't atomize fantastically in the winter, so it clumps up on the inside of the intake manifold.