It just offers more precise control.
It's a bit like central heating vs a gas heater.
you can turn the gas heater up and down in power manually to regulate how hot your room gets, but with central heating you can set the thermostat to how warm you want the room and it will adjust the 'power' automatically to keep it there. In a way it's easier to set up than wattage mode because it's less dependent on resistance and power.
It's like anything though, you get used to your vape being the way it is, when you fire your mod at 11w or whatever, the coil temp rises throughout your draw, it has a curve, from room temp to whatever it gets to at the end, you don't really have any control over that but it will be fairly consistent with the same resistance, power, air hole, length of draw.
If it gets too hot at the end of your draw, you might lower the power but then that will shift the whole curve lower, with TC you can limit it and keep the rest of the draw curve exactly the same.
If you hard limit (like I do) you can eliminate the temp curve altogether and have the same temp for the whole draw, so the 'curve' becomes a flat line. There's no ramp up and no sense of the coil getting hotter, it acts more like an 'on/off' switch.