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Are you questioning the word of Saint Sheldon? You heretic!
OK, so if you're correct, then a 109mm ISO would give the same chainline as a 107mm JIS. By my measurements above then, I'd end up with a 42mm chainline with a 107mm JIS, which would still be a tad too much. Ideally, I'd want a 107 ISO, which would translate to a 105mm JIS, which as far as I know is unobtainable, or a 103 JIS with a spacer.
What a minefield!
Don't make me summon Tester!
In short, the difference between ISO and JIS, is the way they're measured: ISO from end-to-end and JIS from before the start of the 1mm taper.
In other words, 111mm ISO is the same as 109mm JIS.