Dirt track cars usually have the front wheels steered to the the right while actually turning to the left. However, as you indicated, the vehicle is generally pointed in the intended direction of travel. When that no longer happens it is frequently unrecoverable, just as you indicated.
The same can be done on pavement with street tires, but can be less forgiving. Some practice is required to become familiar with the dynamics. Even with that, and as you also indicated, one danger can present itself not only when a tire loses traction but when it also regains traction. The latter can be even more dangerous.
A guy at 2,500 feet picking out a path for a left leg might have time to think about all those little nuances, and maybe even run down the lap sheet checklist under the approach plates as a reminder to click the rudder trim tab a few notches to offset torque, apply partial flap, and (oh, yeah..) extending the landing gear might be a good idea. Landing lights are a "meh, I can see where I'm going" less critical item other than finesse and style points.
Someone scooting up the off ramp at 50 MPH and encountering ice patches doesn't often have that kind of time to pull out the owners manual and review the suggested operating procedures. An abandoned parking lot under 4-6" of snow is an excellent place to learn vehicle dynamics and control, in lieu of reviewing the table of contents while testing out the guard rails. Even though we can write about it ad nauseam and infinitum, any of that practice time can really be far more beneficial.