It actually still is true. I drive on all-season touring tires on my current vehicle because I drive across varied climates, but never in real winter conditions, that said true summer tires have much better stopping distance, better rain/wet handling, and massively better dry handling characteristics than all-season tires, and true winter tires have much better everything than all-seasons in snow and especially in ice.

All-season tires have massively improved, but /so have summer and winter tires/. So sure, your all-seasons today may be superior to very old standards for prior generations of tires, but you are still the absolute safest when you have appropriate tires on your vehicle. Tires are fundamentally all that holds your vehicle to the ground.

Also as much as I love AWD, it does basically fuck-all to help in winter conditions. The thing you need to worry about is /stopping/ not necessarily getting going again, and in both cases a FWD car with winter tires is worlds better than any AWD car on all-seasons. I swap to winter tires on my AWD cars when I spend significant time in areas where it snows (e.g. when I lived for several years in Colorado). It doesn't matter how many wheels are used to drive, all vehicles use all 4 wheels to stop, but if you have no traction you are fucked. Anyone telling you otherwise is ill-informed.