My Asym 2s have plenty of grip, and if it's snowy I just won't take the car out, although it's not hard to drive on snow (I used to live in the South of France near the Alps) it's just not worth it in this country. Since my Zed is not a daily it doesn't really affect me much. Even when I had a daily driver, with careful clutch control you can drive on snow with decent tread.
Winter tyres are great for getting up to temp quicker and getting more grip in cold weather (even if there isn't any ice or snow) but the road noise and wear is quite high, and snow tyres are great for grip in snow, but down in SE UK or in London certainly we never get enough snow and it never gets cold enough to warrant it IMO.
However, I would never roll my eyes at people wanting to do the right thing. If I had a storage shed like we did in France, for steelies with winter tyres on, then I'd happily swap them out. Definitely more so if I commuted all the time on treacherous roads.
I just wish people were trained on how to drive in icy/wintery conditions in this country. We managed with RWD cars to go up steep hills in France all the time - but then the infrastructure is set up to cope with harsh winters.