Herb, my other thought was that since I would only capo to one alternate position on the neck that I might get stick on dots and put them on what would become the 3rd fret to my eyes if I capo on the 2nd fret. It's just SO difficult for me to have my brain trained 2 different ways. I have a friend who plays her guitar in this weird tuning (from 6 to 1, DADGAD) and then picks up a different guitar in standard tuning and plays it. I would have to put myself in a place where I sit in a quiet corner and purge my brain of everything I know about the guitar after playing it since 1964. I have to play instinctively. If I have to think at all about what I am doing, I am 2 measures behind the rest of the band. I CAN play open tuning, like open D or open G or open E, when I play slide.
I imagine if I holed up and spent time I could learn the "split brain" thing but I really don't perform any more and if i am going to learn anything new it wouldn't be anything in music. Like I want to find a college that will let me sit in and audit wind technology classes so I can learn how to turn wind into electricity. Then do the same with solar. 59 years of music has been enough.
Lol, you better don't try to play pedal steel, especially one with a universal tuning or a twin neck. And never try to play a copedant of another player. It might be confusing.

... especially if you decide to change necks within a tune.
Really, there is no split brain required. Treat it as a different instrument. I reckon you can differentiate between different saxes and their tunings. The same applies to a guitar with or without a capo.