Paul,
While no one that is educated on the subject would think your ideas about the speed of current to recharge capacitors... Let me ask you as if anything you said were true... if this ability to charge capacitors is better, what about the other 80% of the time when the capacitors are not being charged but the music can be playing just as demandingly?
Capacitors in a linear power supply are only charged at the peaks of the 60hz cycle. For a transformer to provide power at any and all times it would have to be DC power... which cannot pass through a transformer. Another option is that the 60hz can increase on demand to a higher hz like 100000hz, to meet the demand of instant impulse charging you go on about - this would require power suppliers to defy physics and make theif armetures instantly change speed irrespective of the first law from Issac Newton. Lastly it could be a capacitor that is charged seperately but would also require DC or instant changing frequency cycles - obviously this isn't happening, for reasons given already and that DC will saturate a transformer.
You explain it like his 120v to 120v transformers change the fact that there is romex before them. If I have a water system that is 1/2" and put a coupling on the end that expands to 1", I don't gain anything that did not previously exist. I do not magically get the pressure of a lake wanting to rush in.
The autoformer action of the 120v to 120v could actually reduce charging times because it won't be able to swing the voltage up on demand. Transformers naturally sag a litttle voltagd under use. The 240v to 120v is different as it is autoforming down, not up a little, so it will be a little stiffer, but still not able to change on demand. Converting up a few volts also reduces overall current a hair. When you change voltage you do it be increasing or decreasing current through a transformer, in a reverse corolation.
So to conclude... like before. The benefit of an isolation transformer is that it isolates noise on the AC lines. The reduced harmonics may have a minor effect on quality of power delivery but no more than any other device that reduces harmonics. Again back to noise, not avaliable current nonsense. Btw when harmonics are causing some small power issues, the improvement by removal is based in voltage not dipping. The sound of that makes one think current, but it is not.
"So why can you not understand that making access to recharging current does not further improve the amps ability to meet high dynamic requirements in those same passages as they continue beyond the first draw down?"
It isn't me whom needs to understand, because this isn't happening.