here is the EQP-1R schematic,
it could be that this was the first innerstage used and they liked the way it ran out of phase, so they ran the Triad like the Peerless,
Pultec EQ's were used on phone lines, not for recording, so they did not really care about phase,
you can elliminate the innerstage transformer if you use the MEQ 5 circuit which sounds just fine, a resistor goes from the filter section hot to the grid of a single ended makeup amp,