Soft question: Why do we need to reconstruct a signal?
The concept of reconstruction has nothing to do with the application, rather it has to do with the question: did I get the same signal that is really there. If you cannot recreate the signal back, that means the conversion process is loosing/modifying underlying information, which in most cases you do not want to happen.

So the confidence on the Fourier Transform, or to use the digitized data in the controller, comes from the fact that the loss of information is within the tolerance limits of your application. You can measure the quality of your digitized signal, by actually re-synthesizing the signal and comparing it to the original signal.