I'm not going to waste my time researching a ton of sites and posting links, but I did look at a few other sites, including Expedition Portal. Same deal as here. Some people on each side of the fence. Among those who advocate airing down, there is also some debate as to how much to air down.
I think it partly depends some of your type of snow/ice, and how often it's snowy/icy.
For example, where I live we can go weeks or a month or more with no snow/ice, then wham a nasty Winter storm comes in. So most of us don't feel we need dedicated Winter tires or studs. Pretty much only those who live on top of hills (our hills are mountains to Easterners) use dedicated Winter tires (usually with studs), though even many of them use all season or all terrain tires and air down.
Since most of us in my local area are using all season, or all terrain tires in Winter, or like on my car I have "Winter" tires without studs and they are rated for year round use, and I run them year round; but that type of "Winter" tire has rubber only slightly softer than a snowflake rated AS or AT. i.e. - my "Winter" tires (Hankook Ipike without studs) do well enough on snow, but not so good on ice. On my Jeep I have ATs.
The other factors might be temp and humidity. It's damp here and when snowing or icing it's only just below freezing. So we have wet snow and damp ice. That might also be a factor.
it's possible that what works in one climate might not work as well in another climate. It would also depend on type of tires. Wilson was referrring to dedicated Winter tires made for Winter only use. I have been referring to all season, all terrain, and "Winter" tires that have hard enough rubber to use year round. He was referring to Winter tires with really soft rubber. I was referring to AS, AT, and year round "Winter" tires, all of which are not as soft as Winter only tires.
Warning: I often edit my posts a few times to get them complete or correct errors.