Its not quite that simple, because it depends on the class of operation of the amp. If it is honest to goodness, no marketing fluff, class A then actually the greatest tube wear is when there is no signal. Tubes are biased for a constant dissipation in class A regardless of signal or not. When signal is applied it can actually steal some of the bias current away from the tube, so under signal the tube can be dissipating slightly less. I am not sure the difference is all that meaningful in terms of life, but that is the facts.
In class A/B, the tubes are dissipating their bias current constantly. The bias current determines how much into class A they are biased, after which operation can go into class B (or even class A2, or B2, to complicate it even more).