Not necessarily - the traction control monitors the relative speed of the two driving wheels. If they both slip equally, the TCS will be happy and do nothing. Only if one wheel begins to slip (or turn at a different rate than the other) does the TCS sense that something is wrong.
TCS uses the ABS sensors, so it only knows wheel rotational speed - not what is happening on the ground.
TCS uses the ABS sensors, so it only knows wheel rotational speed - not what is happening on the ground.