I don't agree with left and right hand together, if compared to proper driving.
If you learn driving in the proper way, that is imho with stickshift, you first learn how to use your left hand, which is to stay at the stearing wheel all the time (well, while making turns with hand crossing over, it is allowed to fly in the air very shortly). Of course, the right hand is also there, but after you managed to use the stearing wheel correctly and also drive at the correct speed, you are carefully allowed to start using your right hand. This is, it's resting position at the wheel can now be abandoned and you put it on the stick, while simultaniously press down on the middle pedal so you can shift gears. But he, you are still driving!. If you mess up, usually your instructor tells you to pull over in a safe spot, press down on the pedal and try out the correct right hand positions and shifting first, so you now where to go to. If this works well, you can proceed and put both hands and their actions together and from then on practice, practice, practice until driving goes smooth and safe and you are ready to take the test.
So, either the comparison goes wrong, or separating left and right hand in certain stages of the learning process is ok in order to prevent damage of the used materials and injury and frustration in the users.
Supernanny, who learned to drive in Europe in a stickshift.