But what about the Mark V 10 watt mode (pseudo-single-ended?) So is that true class A or not?
Possibly, it depends on how it's biased. If DC current is continuously flowing through the tube and never stops regardless of input, then it would be class A. In theory you could take any class A/B power section and bias the tubes super hot to the point that the amp would be running in true class A. I say in theory, because while it might work for a short while, the output transformer would most likely suffer a terrible death due to all the excess idle current. BTW, output tube life is also shorter in class A amps, also due to the high idle current.
I've read that a true class A circuit must have only one output tube (not a pair of push/pull which is the typical scenario in most tube power amp sections).
Class A amps can be push-pull configuration. Class A simply refers to the fact that the tubes are always in an state of conduction. They don't "turn off" for any portion of the wave but rather amplify it in its entirety (not counting clipping). This makes for a very responsive circuit, but comes at the cost of drastic inefficiency. Class A amps waste a lot of power due to the high constant idle current. Preamp tube sections are almost always class A single ended config. They are just as inefficient, but since there is A LOT less current flowing through preamp tubes it's not as big of a deal.
Single-Ended amps use only one tube. For audio purposes, single-ended stages are always class A, since class B would result in DRASTIC distortion (rectification practically) of the signal. There are no class a/b single ended amps, as class a/b implies a push-pull configuration requiring 2 or more tubes.
So what are some modern examples of true class A amps?
True class A guitar amps are not super common in the mass marketplace. Due to their inefficiency, you almost never see any class A amps that are more than 20 or 30 watts. The Epiphone valve junior is a single ended class A amp. The Matchless Chieftain is a push-pull class A amp. While commonly mistaken for one, the Vox AC30 is NOT a class A amp, but rather class A/B that is biased hot (closer to class A operation, but still A/B).