Well, yes and no. *Some* hum is caused by a ground loop, and *some* hum is caused by DC on the line, and both of these are cured fairly easily.
You missed the key adjective. "Mechanical". This means that something in the equipment is physically vibrating. This can be heard even with no speakers in the room. I know of no instance when this is caused by ground loops. If you do, this will be a novel situation for me.
Best,
Erik