Do we need to know the true track to a VOR? An aircraft can lock onto the location of a VOR and we can see the QDM (magnetic bearing to the station) to the VOR. If this is the case, do we still need to know the true track of that route? And if so, why?

By extension, if we essentially have all we need to get to the VOR in the aircraft, why do we need to know about QTE (true bearing from the station)?

NB: I have no experience in flying a navigation flight
The short answer is no, you don't need the true bearing to the station if you have magnetic bearing.  Presuming of course that your airplane has a magnetic compass to fly that bearing, there is simply no reason to convert to true.