I saw TONS of Mazda 3's last time I was up in Canada, so yeah... obviously they can't be that bad in the snow.
I got through last winter on the stock Goodyear RSA's. They sucked, but even with the suckiest of sucky tires I got through the winter just fine. So if you have winter tires I'll bet you'll be just fine!
2008 Mazda 3s Touring | 5spd | 35% tint all around | MS3 Rear Sway | cp-e Rear Motor Mount | Simota CB-II SRI | TRZ Transmission Mount | 18x8 Rota P1 | 225/40/18 Kumho SPT | 5-Wire Grounding Kit | Lamin-X Fog Overlays | HD Lip | 6k HIDs | <3Mazda
Yep, as long as you have winter tires the Mazda3 is fine in moderate snow, 20-25 cm. I drive up and over Blue Mountain going to-from work and had no problems last winter, even on days when I was on the road before the plows.