You are on a mission

!! And having a lot of fun. I confess I have been too with this T20.
I went for this Aiyima on a whim but I was a bit prejudiced against it at first sight. However it is a genuinely balanced pre-amp with valves, where they have thought out the volume control, chosen op amps specified by the manufacturer for high quality audio - Aiyima really seemed to have made an effort. The only two areas where it seemed to me they must have really had to make sure on cutting costs to the bare bone was the power supply, and most basic valves (which is of course fine).
I tried a Teradak HiFi Linear Power Supply and after a brief swap back, it is staying in. I found myself chasing the volume up with the original supply. The great big volume read out display has been permanently lower (relatively) across my most regular tracks since. I confess I concur with your subjective responses with your iFi.. I'm still prejudiced towards linear going into valves ;-).
I'm not into the op amp debate, nor cables ... I totally get the need for matched volume, blind listening etc ... and with power supplies I feel no need to change the 48v 10A that feeds my 3e Audio A7. Sounds identical to my Fosi supply.
I think that ambient temperature has a significant affect on the response of most speakers ...
Equally I wish I could measure the affect of an alternative supply into the T20. Perhaps someone who can, will, before we get theoreticals. Put it down to my prejudices and resulting bias.