This video shows why you should invest in a good set of winter tires if you live in snow country. It also demonstrates the differences between locking the brakes, threshold braking and ABS; the effect speed has on stopping distance and why you should never mix all season and winter tires on the same vehicle.
I live in Florida now, but spent better than 25 years driving in snow country. I’m a huge proponent of winter tires, and can tell you from personal experience that they do exactly as their manufacturers claim. A good set of winter tires, on a set of steel (or cheap alloy) wheels, will probably set you back less than the cost of your insurance deductible. I say it’s money well spent.