I must be the most unusual driver because I've run KO and KO2 (with the snowflake) on over a dozen different vehicles in Vermont, year round, and have never had any issues (except in clay consistency mud).
I've run them on land cruisers (multiple 80/100/200), Tacomas, Tundras, F150s, F250s (including two that I used as a personal use plow truck), and NEVER had issues with snow and ice traction.
There must be some more quantitative way to approach these tire threads. So much of what gets posted is limited experience and subjective opinions. It bums me out that people would be swayed from a really good tire as a result.
Most tires, including all seasons can be sufficient in most conditions. That isn't to say you can't get by on a KO2 without issues. I even drove successfully in an ice storm with bald tires on a ford escort when I was young (brothers car). Many accidents and cars off the road and I made it fine, but it was a scary drive.
I happened to have a situation on sheet ice, with two 4Runners with FT 4WD, one with nearly new KO2s and one with 2 year old Generals. I also had a chance to compare the Generals to Falkens that replaced the KO2s and the Falkens were much better in a side by side comparison.
Even after airing down the KO2s, I couldn't get traction, and it put my wife at risk. (Asking her to air down in those conditions made my heart skip as I worried another car could hit her, which is why I ultimately went out in sheet ice with my 1 year old daughter putting us at risk too).
But I agree, most comments are subjective with no baseline, which is why I have repeated my experience with the KO2s many times, as I feel it was a valuable comparison. In most conditions, including snow, the KO2s are great, last a long time (sold ours with over 30k miles and looked brand new), and are great off-road. But in ice, they are subpar compared to other newer ATs.
My Generals were at normal psi, and made it fine in conditions the KO2s suffered. Even after getting her unstuck, we still couldn't get her car home, even with momentum. I had my wife take my 4runner with the Generals home and I got my wife's 4runner to a safe spot off the road (someone let me park in their driveway). It scared the s*** out of my wife, because they were that bad on ice.
Unfortunately, there aren't good testing comparisons, but I think my experience is about as objective as you can get for a direct comparison.
Also, keep in mind the snowflake symbol doesn't mean much. Essentially any AT that applies will get it. The baseline tire you compare the tested tire to is essentially an old tech summer radial. I wish the qualification had ratings. Instead, the KO2, Hakkapelita and Blizzaks all have the same snowflake when clearly dedicated winters are much better.
As it stands, the snowflake symbol is little more than a marketing ploy, as it doesn't provide a lot of data. It would be great if they did a letter rating (A-F etc) for winter traction.
edit: I also drove the KO2s to ski resorts, and made it fine, but I did feel like I had more sliding, even on mixed conditions. Again, they can get through most conditions, but the icy conditions performance is abysmal. Others here and other forums all say the same thing.