Direct feed into the amp sounds more clear and transparent.
Shocker. That’s exactly why I recommended trying some more neutral/transparent tubes. You can play with wires and tubes if you want, but it sure sounds like too much thick Mac syrup in your system and the A6 is giving you a needed dose of transparency and fresh air when combined with your amp. If you can, try something like an ARC, Linear Tube Audio, or Backert tube preamp in your system and you may be very positively surprised as they’ll all offer much more than the A6 could ever hope to as a preamp — as they well should. I think the A6 gave you a small glimpse into the improvements you could have in store, and I’d recommend pursuing that further as there’s clearly (pun intended) something there.