Why a Reverse Valve Body?

Well actually it's a matter of low band apply and shift timing. In the drive position the rear band is not applied in first. If you pull it into first this applies the rear band. While that sounds well and good these days, in the earlier days timing the release of the rear band and the application of the front band was a problem and created a momentary drag when shifting. This already happens in the 2/3 shift when releasing the front band and applying the front clutch. Eliminating the rear band apply in first gear provided a cleaner shift.

That has nothing to do with a reverse pattern. Reverse pattern came about for only one reason........if the shifter (which in the day were not that great) was sloppy, or YOU were sloppy and missed a shift, you would not get the thing into neutral or reverse.

Worst thing with reverse is you can skip 2nd

Back in the day they did this with push buttons. You reversed 1 and 3 because the original D was close to the PRN buttons