No, You're not losing your mind.
There was (supposedly) some sampling going on with the AW track (from the single - She's a Fox). If there was some sampling going on, that might account for the tuning being in the cracks. (Also the horns sound like they are from an older soul track as well, so maybe there were samples from more than one source used?). I do remember reading an article, in which P-Nut said he put the backing track together for her, but others claimed along with album notes, that it was just a demo track. The interesting thing with all this was; P-Nut sued AW/Mick Ronson or the record company, won, and he was then credited...
Sorry for getting busy on a tuning issue, but it's all out there on the World Wide Web.
"Lonnie Youngblood & Jimi Hendrix - She's a Fox"