To clarify a few points made immediately above:
Negative feedback has only a minor effect on high frequency bandwidth. This is because HF bandwidth is a function of the risetime (or slew rate) of the circuit, which will not be affected by bandwidth. However, there is a *perception* that it has this effect, because feedback will add trace amounts of odd ordered harmonic distortion, which is perceived as brightness by the human ear.
Transformers do indeed transform impedance, and in *both* directions. So if for example a 16 ohm tap is loaded with a 4 ohm load, the power tubes will see a load that is considerably lower than they will be able to drive properly. Distortion will be higher and output power will be lower. This is why its important to select the right tap.
The use of feedback has little to do with the transformer, and everything to do with the linearity of the amplifier circuit that precedes it. Usually the driver sections are fairly linear, but output sections may not be if tetrodes or pentodes are used. It is this reason that feedback is used rather than the choice of output transformer.
Almost any transformer currently in use in a hifi amp is capable of operating in a design without feedback. Again, feedback will not have a large effect on improving bandwidth of the transformer due to the demands that would be made on the preceding circuitry.
IOW, the reason you see zero feedback tube designs is not because a transformer is particularly suited for it, more so it has everything to do with the linearity of the circuitry preceding. In Charles1dad's case, his amps have triode power tubes which are inherently linear- no need for feedback.
To be clear, the use of a transformer can indeed reduce the output impedance, but there is a myth that adding loop negative feedback will too. It doesn't. I'll explain that further if anyone asks.