Myles-That's an interesting question. If the tubes measure 'good' on a tester but sound dead, I would suspect the tester is far out of calibration and is measuring cathode emission incorrectly. The life of a tube is dependent on the cathode being able to emit enough electrons to have a strong beam of electrons flowing to the plate (anode) of the tube which means it will have sufficient cathode current to meet the spec for that particular tube. As the tube ages and the cathode current weakens, the tube will not sound good as the electron emission is too low and it will be weak and sound weak. That particular channel will have lower power than the other channel assuming the other channel has good tubes.
'Perfect' tubes should always die a natural death due to the cathode wearing out and no longer being able sustain sufficient electron emission to allow the tube to work correctly. Unfortunately, many tubes become unusable due to other factors such as internal shorts, gas, microphonics, etc.