Awhile back I read that what makes tires grip in the snow is the ability of the tire to "grab" snow and hold it in the tread. Snow grips snow as anyone knows who has ever played in it. So it's the snow on snow that gives the grip and the bigger cleats in snow tire treads grab and hold more snow.
That's been my experience, over decades of winter driving in snow, sleet/slushy conditions.
Biggest grip aspect, from what I've experienced: tire compound, sufficiently accommodating of very low temps; then, siping and tread blocks, to capture sufficient snow/ice that it's got something for the next bit of snow/ice to grab onto. Next-to-last on the list is AWD. I'm all for AWD. It can help, but it can't outrun poor compound selection. Last on the list would be tire pressure. If we're speaking of "snowshoe" amounts of snow, that's one thing; very possible pressures could exert a stronger influence in that. But in most conditions it's smaller amounts of surface crud where the tires' pressures are the least of my concern.
As for what "experts" and write-ups suggest as preferable, I couldn't say. I've seen all sorts of viewpoints. But I'm dead set on choosing a tire that's got it to go, when nasty conditions prevail. Been off the road once, in black ice and light snow conditions driving a Subaru 4WD riding on excellent ice+snow tires. Never again ... if I can help it. For years, I would play with the pressures, as that's about all one can do (aside from driving technique and speeds) to potentially alter the amount of resulting grip a given car+tires has. Hasn't seemed to make much difference, certainly nothing like correct tire compound, sipes/tread for the conditions, and AWD.
Who knows. Perhaps my "problem" has been the four states and type of snow/crud I've driven in, since the early 1980s. Perhaps I've just been lucky. But, somehow I doubt it. Exceptional tires. AWD. Driving at speeds suitable to the conditions. That's about 98%, from what I've seen.