All things being equal, the AWD, and FWD will accelerate faster, or help you get out of snow bank parking spot, but so much has to do with the tires. quote from Car and Driver winter tire test:
"Often cited as the transportation cure for winter climates, all-
wheel drive is far from a silver bullet. In previous tests, we’ve discovered that an all-
wheel-drive vehicle with all-season tires can outaccelerate either a front- or rear-driver on winter rubber, but that’s where the advantage ends. The additional traction of winter tires allows a two-
wheel-drive car to outbrake, outturn, and generally outmaneuver its all-
wheel-drive brethren. Of course, the unstoppable winter option that can impart visions of rally-driving heroism is the combination of all-
wheel drive and winter tires, but possessing all-
wheel drive generally sacrifices a rear-drive car’s handling balance in the dry, adds a couple hundred pounds, and comes with a fuel-economy penalty. That’s why our preferred choice is to buy a second set of tires to get through the winter—almost always cheaper than the price of all-
wheel drive—while relishing the superior dynamics of rear-
wheel drive the rest of the year."