The wider your tires, the less control you have. They "ski" over the snow instead of digging in. High performance tires also stink in the snow.
I've driven in a few inches of snow with my regular Z-rated tires and it was not enjoyable at all IMO, mostly because of the other traffic on the road blowing past me. If I had the road to myself it might have been more fun, but the rear of the car was jumping all over the place even when it was pointed in a straight line because one side would get traction briefly and push the rear sideways, then the other side would grip some and push it back the other way. Pretty nerve-wracking actually, especially with all the other traffic blowing past at much higher speeds since their cars are fine in that kind of snow.
Also, if you activate ABS/TCS enough, the system will shut down because it thinks there is a problem. Then you are kind of in a bad situation because you have to try and modulate the throttle and brakes yourself with almost no traction and you can't get ABS/TCS back until you can shut the ignition off and re-start the car.
And TCS/ABS aren't magic - they are still subject to the laws of physics. No matter how much TCS tries, you simply cannot drive the car up a hill if there is not enough traction for the amount of incline.
If you could magically transport it to a big open parking lot, it would be fun to slide around, but it would probably not be terribly fun to get there and back.
I'm told it does pretty well if you put winter tires on it such as Pirelli 210. A few people drive theirs year round in the northeast with winter tires. If you only drive on really dry snow it might be a little better too, since that isn't as slick as wet snow/ice.
In short, I got caught in unexpected snow a couple times back when I drove my NSX a lot more frequently. Now I don't even drive my NSX when I think it might rain, which is probably really good now that I have even wider tires, than when I got caught in the snow.
