Never owned snow tires and never have I got stuck in snow on a major road. I had a sports car with low profile tires during the winters of 2006 and 2007 and the only time I got stuck was on the street in which I lived. You just need to know how to drive in the stuff. Don't start in 1st gear, easy on the gas pedal, throw into neutral during skids, don't slam on the brakes etc..
All you are saying is that if you are delicate enough, you will not exceed the limitations of your sub-optimal tires.
If you had better tires, your superior driving skills would give you an even bigger margin of safety.
However, you and other Winter Tire bashers demonstrate just how basic, primitive and misguided your driving judgement and skills are. You speak only of getting going, not getting tuck etc. When the real safety issues are getting stopped or remaining in control when faced with a situation where you have to make a quick move to avoid a collision.
Cognitive dissonance is present in everyone to some degree but to argue against the increased effectiveness of winter tires simply shows ignorance. We don't know what we don't know, and once you have experienced the difference in winter tires then you will understand.