Limited slip locks the two rear wheels together but does not reduce the power to them. Traction control actively reduces power to slipping wheels. If you need some tire spin to clear the tread, like in heavy gumbo or deep snow, you want to turn traction control off. If you want to be able to use rear tire spin to aid in high speed cornering on loose surfaces, traction control needs to be off.
On my 2021 2500 4x4, I have to turn off traction control on slippery or muddy roads or it will overheat the brakes and not allow me to keep enough momentum. It cuts power from the motor to all wheels and brakes any wheel that slips and it does it often enough to slow you down. Before I learned to turn it off, I had it shut itself down and give me a SERVICE TCS warning lamp. The light went out after an hour and a restart, once everything cooled down. Now I turn it off completely when I am on real bad roads. Low range turns it off automatically, just for that reason.