All our cats have been hilarious in the snow. They all have rather "go" outside than use a litterbox, so when they went to the door, we let them out; they'd burst outside, over the dry porch and then freeze like a statue when they hit the snow. Then the fun began. With each step they took, they'd raise the paw and shake it to get rid of the snow clinging to it. It was the feline version of the hokey-pokey without music.
They'd quickly find a shallow or no snow place up against the house to go, and then hokey-pokey scurry back in. The funny thing then was the next time they had to go, they'd go to a different door, I suppose thinking somehow the weather would be different at that exit from their previous sortie. Do the hokey-pokey....all over again...