By "linear" in this context do you mean, in general, depending on the circuit of course, less upper bass/lower midrange "warmth" or focus than, for example, 833 or EL34?
Has to do more with determining the AC 'load line' of the amplifier, producing output dynamics that track the input dynamic more accurately with least amount of compression or distortion.
That is easier to do with tubes that are inherently linear to begin with, as the curves in the diagram shown by morricab above for the 845. It is harder to get that linearity with 'pentode' curves, which are different.
I think the elusive 'warmth' factor may have more to do with distortion profiles and relations of second and third harmonics. Also, the sense of response and 'bloom' of particular tubes. This is still a hotly debated issue.
I have only ever seen one Wavac amp ever measured, and that was the 833 model reviewed some time back in Stereophile. 833 tube has a more 'pentode like' curve as opposed to the 'triode' curves like the 845. That 833 amp, even with the massive extra power supply chassis, could barely make specs out to a couple of watts and was up to 15 percent distortion at peak power. Nonetheless, the subjective impression appeared to be highly favorable.
Shishido said his amps were all one watt amps and that everything else was overhead depending on the speaker efficiency and demand.
That gets into the bag of worms of how particular distortions can aid the auditory apparatus into hearing the signal in a way that is subjectively pleasing. I know that desirable warmth factor in the upper bass/lower midrange and I crave it, too. I think tubes do that better in general and thus the Sigfrieds on the bass towers.
My speculator speculates on the Wavac that the first watt or two have good distortion figures, but that as the power demand rises, so do the pleasing distortions to give the warmth. It winds up producing an organic effect that also enhances detail, space and dimensional perception in some ineluctable manner. Maybe the transformer grid biasing arrangement in A2 is just a better way of doing it.
Of course, there is the standard accusation that these tubes are 'tone controls'. But it begs the question, if they allow you to hear the detail, dimensionality and tone better, and enhance emotional engagement, are they better for people while being worse for robots?
Wavac does not make everything sound 'good', but it does present in a way that is diplomatic at the least.