You are right, we could be wrong. But why do you think you can't be wrong?So balanced amplifiers that are push pull have an advantage. Being that push pull amps have quite an advantage in producing power from a set of tubes, will balanced in this case augment the quality of the signal in respect to improving the notch distortion? What other advantages?
You are caught up in forum chatter that has very little to do with reality.
1. Why are balanced amplifiers preferred? Write a few well-argued sentences.
2. You write about the power advantage of PP amplifiers with the same set of tubes, but this applies only to AB or B modes, but SE amplifiers do not work in these modes.
The two output tubes in the PP amplifier in class A mode give the same power as in the SE amplifier. But the PP amplifier has the problem of the first Watt, at low powers they have problems with the reproduction of low frequencies.
It does not depend on the type of input signal.