Renate, your diagram is a very plausible suggestion! Wish I had thought of it! It certainly addresses the symmetry question, and moffy’s bit about coil inductance change is quite credible. I can even imagine then how this configuration could easily be extended to cater for a second channel yielding a single A +/- B channel, all in the one transformer, which is what this device appears to do. To validate this, I will probably now have to disassemble the unit to characterize the transformer. Not too keen to rush into that, but I’ll certainly think a lot more about how this architecture matches the circuitry I have mapped so far.
Still a long shot, but maybe there is someone out there who is actually familiar with these sorts of devices. Mitutoyo, Brown and Sharpe, Federal, lots of people made them back in the 80’s, so I’ll keep hoping for a little while.
Thanks, guys, for your suggestions so far!