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?
Yeah it’s pricey, very pricey, but the risks are just too high for a home not to be properly grounded anymore. Homeowners have had 50 years to do it, it’s time to get it done.