I have found snow tyres to be noisier myself, when we used them on a Diahatsu 4X4.
Even in the snow we had in Herefordshire which was reported as being the worst for 30 years. I still got around and actually didn't need my little rope trich to drive down country lanes while circumnavigating Dinmore Hill, which was closed. That was because I had fitted a pair of new road tyres to the front of my Rover on 4th November and I used the traction control. I had to cut across country to get from the A49 to the A4110 to drive to Eardisland from Hereford.
You are right Lutz, most folks do instinctively hit the brakes no matter what the situation. But if you think about what your doing decelleration using the gears works better than even hitting the brakes with winter tyres on. There's an old saying of "feet is for dancing and brains is for thinking" down here in Herefordshire.
I would rather that, people learnt first to drive a car to it's full potential, than to rely upon gadgets like ABS, Traction Control, Itelegent Braking, Snow tyres and all the other gadgets and gizmos that car manufacturers advertise to tempt the unaware folks to by their latest car.
I know I said earlier that even I used traction control, but that was mainly because on the Rover 75 it is active all the time and you have to manually press an over ride button to de-select it, and I was concentrating on the narrow single track lanes and negotiating on comming traffic.
In the good old days of 1977 I had a Moggy Minor van as my first car and that had traction control powered by me ?! If I got stuck I used to switch off the engine select 1st or reverse gear, get out and crank the engine over without the ignition turned on, to move the van out of the stuck position. Sure it was "blood sweat and tears" at times, but it worked. Now today, with the advent of transverse engines and electronic gizmo's you can't even use a starting handle let alone find one other than in a museum.