Get out your tape measure. Most SUV's don't have 6" of ground clearance, much less a regular cars. Yeah they look tall, but look under them. Their axels don't have much clearance. A Subaru has more ground clearance than an Explorer.
A corvette is not an ideal car for the snow. I don't think anyone here thinks that. SUV's and trucks are actually no better. They have a high center of gravity, and with that much weight, a lot of momentum to try and stop on a low friction surface. Add high winds to their high profile, and you can watch them get blown sideways off the road.
Every time there is percipitation here, there is at least one roll over accident, a truck or SUV. They go too fast, and loose control faster than a you can quick shift a vette. The really unfortunate think is that these people end up causing a accidents all around them as they crash.
Don't think that SUVs are more of a problem in bad weather? Look at the insurance rates. Why do you think the cost to insure a SUV or truck is going through the roof? They are in/cause a lot of accidents. They tend to do a lot of damage when their driver goofs, and the insurance companies are starting to make them pay. Don't worry about a corvette hitting you in the snow, you have a better chance of being hit my lightning. Corvettes are far more likely to get run off the road by a 4x4.
Caution, reduced speed, attentiveness, and a little common sense, and you can drive just about anything in the snow. You can get a car with bald tires to go through a iced over curve, not recommened, but possible.
If you don't feel comfortable driving your vette in the snow (or rain as the case may be) then don't. But don't think you are superior because you choose not to. If they really were unsafe to drive in bad weather, GM would be sued left and right for liability.