There is a very small 120Hz hum residual in the DC board output, which can be cancelled with the pot. You may need to use sensitive headphones to hear it.
The hum pots also will allow you to reduce (and optimally, eliminate) signal current through the capacitor bank on the DC board. Some people think those capacitors cause a subtle loss of quality. If that is true, and if it is due to signal current through the caps, then the hum pot would be able to help. There is virtually no solid data to tell if those assumptions are true. I have not heard this problem myself, but a search of the forums will find many who prefer AC power in spite of the hum. In these days of fake/false news, I am becoming more suspicious of things I have not heard myself.
Note that in the Stereomour, the control now gives you the range of 40% to 60%; you cannot get to one end of the range or the other. Try the control in the middle and at either end to see what you hear, if anything. It will shift the operating point slightly, which might also make an audible difference.