Sorry, I am a bit sceptical of this assertion. What you say about minimalism and high quality components is certainly true. But *only* when it applies to components in the signal path.
Transformers and capacitor banks are in the power supply side. Their job is to feed current to the signal - they are basically a reservoir. Having a larger vs smaller transformer, or larger capacitors vs smaller capacitors should make no difference as they are not in the signal path at all. If anything, larger capacitor banks would almost always be a better choice as they provide a larger reservoir of instantaneous current supply, so the signal amplification circuit can handle amplification needs and impedance swings better.
Anyway, just my lay person understanding. I am sure there are far more knowledgeable people on this forum who can correct me, yourself included.
The second aspect is that different designers have different design philosophies. Many believe in minimalism, but some do believe in maximalism as well. They believe that by over-processing the signal, they can achieve better control of the outcome. Even you yourself said that your current amp uses a lot of DSP magic which is part of its secret sauce. Auralic does this. Yamaha does this. Delta-sigma DACs do this by definition. DSP is this by definition. Room correction is this by definition.
To be honest, I am not making any claims either way. I personally have a very minimalistic amp with reasonably good quality components and I *really* like the sound. But not to say that other designs might be as good or better. Perhaps?