I have owned two terrific push pull tube amplifiers, 100 watt KT 88/6550 and 40 watt el34. I have 300b SET mono blocks 8 watts. All three work very well with my 94 db sensitivity/14 ohms speakers. The SET is the most nuanced, open, transparent and in addition the most emotionally involving, 3-dimensional and tactile of the three amplifiers. Simply more real and believable presentation. That’s my listening experience. For other listeners if can certainly be different.
I don't doubt your experience.
Those larger amps you mentioned use feedback. A long time ago I read a passage by Norman Crowhurst (an early tube guru), discussing what happens when feedback is applied in an amplifier. He described the spot that occurs as the 'feedback node'; the cathode of the input tube. The thing is, that tube, no matter how good, isn't linear. So when the feedback is mixed with the incoming signal, its a distorted by the tube, so causes additional distortion as a result. Crowhurst described that as 'higher ordered harmonics, inharmonic distortions and intermodulations'. All of these are unpleasant to the ear and readily audible (usually has harshness and brightness at some level). Those things did not go away simply because the amplifier is a bit newer...
A simple remedy is to not mix the feedback inside a tube. It can be done using a resistor divider network entirely outside the amplifier. It helps a lot if the amplifier is also reasonably linear without feedback! This practice is exceedingly rare in high end audio.
Most pentode and tetrode power amps I've seen really need that feedback to work. But if the amp was already musical without it?? That's pretty rare... I'm not contesting your experience. What I'm saying is to find out how this works, a wider net has to be cast.
I started studying SETs in the early 1990s (with early editions of Sound Practices magazine as the influence). I've heard some SETs that seemed quite nice, but so far none surpassed some (but certainly not all) of the PP amps I've played.
IIRC, your SET uses a 300b. You might find it interesting to hear a class A PP zero feedback amp using the 300b. In that way variables are eliminated, all of which affect the distortion and therefore the 'sound'.