I believe AM9 is correct. They worked in what I would have thought the most logical way, not coming up with an arbitrary length and then wondering how to fit the seating in, but to take a standard seating bay as the basic unit; 8 of them seems reasonable, put in appropriate doors, WCs, stuff under the frame, etc, and you end up with 64', which seemed to fit most existing structure gauges. If not, take a bay out and calculate again. Try doing 9 bays, that would be beyond many existing structure gauges. So that's it.
Some lines and stock types didn't suit this, so take a bay out and you get the 57' length. Some of the restrictions seemed to be a bit of an urban legend. 57' stock for curves, and specially cut-down ventilators for clearance, were stated as needed for the Moorgate trains, yet later 25Kv was threaded through without huge issue it seems, with standard length stock.
Mk1 stock had an initial design life of 40 years. Notably, the body was meant to last just 20 years, and the vehicle to be rebodied at mid-life. In the costing what was above the frame was less than half the construction cost. Somehow that didn't happen. Initial steel bodies did seem to last about 20 years but it was practice to scrap the whole vehicle then, and as steel construction techniques advanced (alas wonder product asbestos insulation being part of this) the bodies were found to be able to last longer. B1 bogies proved to be underperformers, brakes moved on from vacuum to air, and from clasp to disc, steam connections went - the underpinnings all became outmoded as well.