Yes, it does make sense.
As you said it will make less load on the system, which is good for thermals, and other applications.
However.... Your games logic should NOT depend on the updates per second. Therefore I recommebd you to take a look at deltatime, which will make your game independent of the updates per second.
I recommend you to take a look at this question. It explains pretty well how to calculate and use it. How to get and use delta timeHow to get and use delta time
Hope it helped!