Just think of this: demo units in music stores are often left on for weeks at a time.
The Voyager is like any other electronic device, be it a TV, a cell phone, or any other. The longer you have it turned on, the higher the risk of some internal electronic part failing. This is called MTBF (Mean Time Between Failures) and is calculated based on circuit design, and parts tolerances.
Usually, this MTBF is rather high. Often calculated in thousands of hours. But there are occasions where unforseen defects either in the design or the poor quality of parts used that can dramatically shorten the MTBF.
If this happens under warranty, it isn’t too much of a big deal. But more often than not, it will happen outside the warranty, and that can be a pain.
BTW, the synth doesn’t “work harder” when it’s producing a sound. It is always working, even when no sound is produced. So no difference if it is making a drone sound for hours.
If your Old School is doomed to fail again, it could very well do so only 30 seconds after powering it up, or many hours/days/years later. With over 800 parts working inside, it’s rather unpredictable to tell which one could fail at any given moment.
That being said, this is first and foremost a musical instrument that is meant to be played, so go ahead and play it as much and as long as you want. It doesn’t make a big difference in the “life” of the device. If it’s doomed to fail again, because of some internal weak part, it will.
To reassure you, I’ve got a 37 years old Minimoog D that is still going strong after all these years. How many hours do you estimate that it was turned on continuously playing music during all those years ? 