TC will tap the brakes on the spinning wheel to get it to grip the road again. The spinning wheel is also known as a useless waste of engine power. Above speeds of 35 mph, TC cuts back on the throttle just enough to get the wheels to grip again.
I drove on ice a lot when I was living in Norther Michigan. We learned to modulate the throttle to keep the wheels from spinning. If you give it too much gas, you'll spin your wheel and barely move forward. If you apply the gas gradually, your tires won't break traction and you'll go forward. This concept is nothing new. The same thing applies with the brakes. You learned to sense when the wheels have locked up and instinctively release and reapply the brakes to get the wheels to grab the road again. The human response and reaction time is so much slower than the computer controlled system called Traction Control. I wish I had TC back then.
Whether it's snow, rain, ice or pavement at a race track, why would you not want TC to do its job? If it cuts back on my throttle, obviously I've given it too much gas that would cause useless (but cool) wheel spin. TC senses, corrects and rechecks wheel spin so much faster than a human can react.
So many people don't like TC. I even see kits online to have TC off when the car is started. Maybe I'm missing something else...