It has nothing to do with helping the Stratocaster at all. The White was designed as a tribute to a friend, Forest White. Most books are repeating the same information that is mostly incorrect. (For instance, the serial number AS0001 that was given to Forest White was not the first off the assembly line. They started off using the old four number serial, with no letter prefix. They made them up until 1962. Made at least a bit over 1000 of the actual amplifiers) There are at least 4 different versions of the circuit, with six possible power and six possible outputs transformers. None were push/pull designs. There is no phase inverter in this circuit, making a push/pull design based around this circuit absolutely impossible. (For those not designing/making amplifiers, one fundamental difference between single ended and push/pull amplifiers has to do with the either using a driver, which puts all the signal into one tube, or a phase inverter which splits into two different signals running to at least two different power tubes (or a dual triode which is two tubes in one bottle). So, the only thing to retain out of a White amp circuit to use in a push/pull amplifier is the initial gain stage, which is almost a universal gain stage. I have been inside of over 50 different White amplifiers, currently own 10. I spent a few years backwards engineering all the nuances of the White amplifiers, and make the only correct version available anywhere. We also make a White Amplifier pedal with an identical circuit, with jFets replacing the actual tubes. We contacted Fender, and the White family to make sure everything was cleared before we reinstated the Federal trademark, and we rebuilt our amplifiers to be as close to the originals as possible.