I will vote strongly for running snow tires on all 4 wheels. First, as a very experienced Rally/autocross driver, I doubt that many of you are nearly as good at controlling oversteer as you think you are. And, even the racers do not like cars that are loose in the rear!!
Now, assuming you are talking about real Ice rated snow tires..., not just the cheap snow tires that are really just snow patterns on regular rubber, here is what happens:
Take a grocery cart and push it backwards down a couple of aisles, with it wobbling back and forth, and you will soon turn it around.
My Worst experience: I go to Colorado/Wyoming every winter, often more than once for skiing. Often crossing Nebraska (455 miles) in a blizzard with a VERY strong north wind. I have always used Ice tires on all 4 corners, but just once headed out in my previously super stable Taurus, with ice tires on the front and good Michelins on the rear. A blizzard with a strong north wind left me in a absolutely continuous tail wag situation, totally unsafe above 35 miles per hour. Yes, I can correct for oversteer, but every 100 feet?? Constantly??? After about 200 miles we pulled into a rest area and swapped, putting the Michelins on the front and the Yokohama Ice tires on the rear. Yes, it probably took twice as long to get up to speed, but the car was now arrow straight stable. (Stability is good, we counted nearly 50 SUV's in the median, with most of them on their roof!!) The improvement was huge, the car was now stable again at all speeds. Yes, we did put the ice tires back on the front in Colorado for the mountain passes, and as often is the case only the passes were bad, the other roads were often dry
I believe every serious study has reached the same conclusion. You may be ok running snow/ice tires on the rear only, but absolutely not on the front only.
Now, look at the economics of it: For my wifes commuter Escort I bought 2 sets of tires when the orginals wore out at about 48 k miles. 1 set of Michelin X and 1 set of Yokohama ice tires.
Running the Michelins for about 8 months each year, and the Yok's about 4 months each year, I passed 200 K miles before I had to go tire shopping again. 150 K miles on 2 sets of tires. ABSOLUTELY no cost to having the ice tires, as I got all those miles of use. So how do you save by buying only 2 when you get the miles out of the tires anyway??
And, if you do not keep your cars for at least 200k, why are you reading articles on the oil forum about engine wear. Hah, gotcha!!!