I wasn't around when this neck was developed, so I don't have a definitive answer for you, but your guess is likely correct. It's similar to the way Leo Fender arrived at the 34" scale length bass guitars: he simply added 5 more frets to a 25.5" scale guitar neck.
The other factor that may have influenced the decision to make the scale length of our baritone necks 28-5/8" is the fact that they are baritone conversion necks. IOW, we didn't build a "native" baritone guitar, but rather a replacement neck that could be retrofit to a 25-/12" scale body, and still intonate correctly.
Fret 5 to 6 for a 34" calculates to 1.430" compared to 1.431" for a 25.5" scale nut to fret 1. Though I doubt anyone in the 50s was worried about one thousandth of an inch or able to saw that accurately.
Indeed 28-5/8 is 25.5 extended. Interesting that no one ever did a baritone extension of 24.75 which would be about 27.75. That's a happy medium between the usual 27-28 scale. 28-5/8 always seemed a bit of a hard sell, along with the oddball 25" 7-string. Guess that's the real question, why on earth 25"? heh
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