That's interesting about the triune and the duple in the "mensural time": didn't know that.
FWIW the Bischoff edition, which I still use, has the time signature as 2/1. Whatever that's supposed to mean (yes, I know, but it's a pretty odd way to put it, IMHO). But it's clearly a triple meter as notated.
Excuse my language, but that's a ballbuster of a gigue, at least for me. Haven't looked at it in months. Kudos for playing it! Not so much the notes, it's just so precise, strict, and relentless.
So what's the "I" symbol all about? I just scanned through a bit of the score and, TBH, I can't rule out inversions of the subject, but my eyes are pretty bleary after work.