It's all good.
ABS, controls braking force only, and only activates over 16km/h.
It sees a wheel that is locked and releases the pressure to that braking circuit to let the wheel roll.
TCS, is like the yin to ABSs yang.
It sees the drive wheels turning faster than the dead wheels, and restricts engine output to slow them down.
What you're thinking about is ESC (electronic stability control)(or similar).
This take into consideration all wheel speed, steering wheel angle, g sensor readings, etc.
It then applies different braking forces to individual wheels to try and put the car where you're trying to go.
All these driving aids are either better or worse depending on tyres.
Good tyres, will help the systems.
Worse tyres, will hinder.
And there are limits to what they can do.
Push too far, and they won't be able to help.
Hope this reply hasn't bored you too much.
But, the more people know about card, the easier my job is.