Well we are both wrong.
After doing some investigation the extra tube was just to separate the voltage amplification from the phase splitter.
This is the circuit for the VTA board modification which is the board with the three tubes.
So the board has three 12AT7 tubes. The two halves of one provide voltage amplification for each chanel, then the other two tubes provide the complementary phase splitting as the drivers for the EL84 output tubes.
This is the original circuit.
Voltage amplification is from one half of the 7199 tube. The other half of each tube is the phase splitter to drive the output tubes.
Of course claims were made of improved performance, but I suspect the reason is the 7199s are hard to source, and 12AT7s are plentiful. This mod did provide performance below 20 Hz for what that is worth. Both circuits would have the output 180 degrees out of phase with the input. The output stage with complimentary EL-34s is the same in both versions.