@hogi -- you've jarred something loose here, the idea that I wasn't including the Item column anywhere in the interface, and therefore there's an implication that maybe the Split algorithm isn't even really aware of its existence.
I think I was believing that *all* columns were important in the Split operation, and it was trying to maintain all relationships where possible, e.g. that "lima" was also only associated with item "3". Now I'm left trying to figure out if all of the other columns should be grouping columns if I'm doing "Keep all"...
Someday I hope to achieve the status of JMP-Master, and be fully enlightened, and perhaps then it will make sense why JMP doesn't implicitly use all other "Kept" columns in the Group role. Until then, it will likely continue to make me nervous, as its behavior for me in these conditions isn't obvious, results in faulty output data under conditions that may be hard to identify, and is not well-enough documented for me to understand. At least that nervousness will keep me more alert in the future when using it.
Thx.