I know that the answer is yes, I should, but outlets near the setup are not grounded (even though they look like they are) and I don’t want to have wires running though my living room.
The real question is what are potential problems ? Occasional system reboots? Permanent damage to PSU? Permanent damage to other components?
My house was built in 1939. Initial installation of ecectric cables consisted of a wire in a sleeve filled over with concrete. That was all replaced with proper tubing and isolation, but these few outlets do not have ground.