NYC, Chicago, Milwaukee, Pittsburgh, Cleveland, Salt Lake City, Denver, Detroit, etc. have some terrible Winter weather for example. You can't safely, effectively navigate Winter weather in NYC in a vehicle like the Chery QQ Ice Cream. At best it'd be good ~2/3 of the year.
[citation needed]
Power is not the limiting factor in icy road conditions, traction is. While a heavier car is easier to get moving due to increased normal force, it's equally harder to stop. The actual difference makers are snow tires so you have more traction, and electronic stability control/antilock brakes so you never lose traction.
Driving on snow/iced doesn't require power, it requires good tires and an understanding of how to drive on snow and ice.
I do wonder if the engine in it could get up Seattle hills though, my family's old Geo Metro had problems, so something with a fraction of the power could prove problematic.
Having said that, good snow tires are magic.
All seasons can't and _wont_ cut it in some areas, and having tires that only work 3/4s of the year for traction is dicey at best.
Source: I drive a Miata in winter up in Saskatchewan