It IS a
shame that none of these tire manufacturers produce a winter tire in a 195/50/55-17, or even a 185/55/60-17, since then we could use the factory wheels
without going to a WIDER tire (like everyone seems to do), which is contrary to what is desired for winter's snow/slush use, setup.
Speaking strictly all-season compound and ignoring the super-crap Yokohama P185/60R14 tires which would get me stuck everywhere, the only time traction was a severe issue, was when "ground" clearance was an issue. I've understood that the chief "benefit" behind narrow, is that you more readily sink in.
The Kelly Explorer P175/65R14 were decent. As mentioned, the Yokohama P185/60R14 sucked ass. The Kelly Navigator Gold P185/60R14, could pretty much go anywhere, even when everyone was told to stay off the roads. The Kelly Explorer Plus P185/60R14 wasn't as good as the Navigator Gold, but a little better than the Explorer.
I would also reduce tire pressures under those conditions because the additional flex helped knock some of the snow-pack from the tread. While this is
not contrary to popular belief or practice, note that this also has the impact of increasing the tire contact patch.
More than width, I think tread pattern, tire compound and sidewall flex are going to be the most important factors.
Regarding width, my point is
not that I am right and everyone else is wrong, but simply noting a reason why I may prefer the additional ~40mm total spec.
On another person's vehicle, I've also seen the extreme of having super-wide (maybe an extra 20-30mm per tire) on snow pack, and the results were definitely not good. He was definitely
not biting or digging in at all. I'm not sure how he made it across town to start with LoL. But then, the tread, compound and sidewall were all, far less than ideal.