Stability is a function of machine load and temperature - it may never throw errors at low loading and low temps, or even 100% loading and low temps. Your machine might be 24hr stable now, but wait until the hot days of summer when higher ambient pushes your temps up (air-cooled systems anyway) - you may find your 'stable' system starts to fail.. Professional servers are run in air-conditioned environments for that reason, most of us don't have that luxury.
The point is - the tests we run are valid only under the conditions in which they are made, and those conditions can change a lot in the home environment.