With my system, SQ and transparency improved a lot with the S-30. I can think of 2 possibilities here -- the driver tubes and system synergy. It took me months to find the best tubes for the S-30. And it has taken years to optimize the S-30 with cables, tweaks and accessories. So, the reason for this happening in your case may not be apparent.Do you know what OTL stands for? Output transformerLESS. From my novice understanding is removing the transformer will improves the SQ, transparency, linearity ...
The reason your system sounds better with Zero-Autotransformer is you bought the wrong size amp. But if you get improved SQ and transparency by adding a Zero-Autotransformer to an OTL, who am I to argue.
I take back what I said earlier, there's no hope for you after all.