"Performance Winter" tires *are* "studless winter" tires. Let's not get caught up in terminology but it's important to know that what makes a tire a "winter" tire is the rubber compound. It generally has a tread optimized for traction in snow/ice/standing water as well but that's not what makes it a "winter" tire, it's the rubber compound. And all winter tires not capable of stud mounting are "studless winter" tires. These tend to perform better than studdable tires that haven't had studs installed (some studdable tires come either way). Studdable tires are quickly falling in popularity due to the excellent performance of modern studless winter tires. Performance winter tires have a rubber compound that is too soft to securely hold studs. That's how they get much of their ice/snow traction and, in many conditions and temperatures, they meet or exceed the snow and ice traction of a studded winter tire. In some conditions, the studs will have an advantage.
The rubber compound is the biggest determinant of how much ice traction you will have. This varies from manufacturer to manufacturer but any modern name brand winter tire will have decent ice traction due to the soft winter rubber compound. On a microscopic level, even the smooth parts of the tread can gain traction on snow and ice. If they made winter radial slicks with no tread whatsover, they would work passably in most snow/ice conditions. But these are not available because it's even better with tread.
The tread design is what separates the "performance winter" tires from tires designed to give ultimate snow traction. A performance winter tire is designed to handle higher cornering, braking and acceleration forces without the tread deforming excessively while the tread on a non-performance winter tire is specifically designed to deform under fore/aft/side loads to present the corner of the tread blocks to the traction surface. If they can bite in a little, this provides higher ultimate traction. But it comes at the expense of noise, vibration and performance on wet and dry pavement. A performance winter tire typically has a finer more "spidery" pattern and has tread blocks that are better supported so the tire doesn't feel like mush when cornering braking and accelerating. They still have good snow and ice performance due to their winter-specific rubber compound. Most people over-estimate the effectiveness of aggressive tread blocks vs. rubber compound. The rubber compound provides most of the winter driving benefit. Even Performance winter tires have treads that are designed to pack with fresh snow. Surprisingly, this increases traction substantially in fresh snow (which is composed of pointy crystals). The snow crystals interlock which adds to the level of traction.
I've driven two brands of performance winter tires and countless sets of winter tires designed for ultimate snow traction. When I discovered Performance Winter tires I left the others behind. I drive through a *lot* of very nasty mountain storms that sometimes extend all week and hit with surprising frequency. The road I drivemost often is steep, twisty and narrow (although not as steep as a steep driveway). I've never felt let down by performance winter radials. They are modern marvels and I highly recommend them unless you have special winter needs that go beyond the 95% of motorists who drive in a lot of winter snow/ice.
An example would be if you live in the country and have a long, very steep driveway that is not very well maintained and might have some off-camber sections (road slopes to one side or the other). In cases like this, you might just have to put up with winter tires designed for ultimate snow/ice traction, especially if you only have 2WD. But for people who normally only need to travel on normal city or county roads that develop icing and fresh snow between plowings, performance winter radials are amazing. I am no longer gritting my teeth in the spring hating the way my winter snow tires are driving on the mostly clear roads. I couldn't get them off soon enough which resulted in a number of hairy drives in snow and on icy patches with only all-season radials. The performance winter radials drive so smoothly, quietly and nicely that I can leave them on until all threat of winter ice has melted away.