Voltage from a tube amplifier OPT will vary considerably depending on the speaker impedance at the test frequency.
@ieales This statement is incorrect. This amp uses about 15 dB of feedback, allowing it to behave as a voltage source with most speakers. The variance at the output transformer is thus minimized. If it was zero feedback then it would behave as you describe.
Most everything has a signature sound characteristic. Every resistor and capacitor has their own sound. That also goes for transformers and chokes. Even the chassis material has a sound.
While this is correct, it is incorrect to say that in all cases the 'sound' of the various parts actually influences the output. If the amplifier has enough Gain Bandwidth Product to support a large amount of feedback (+35dB) over the entire audio band then the various parts 'sound' will go away. Most amplifier designs cannot meet this criteria and so the parts influence the sound as you describe.