This is something I would like to incorporate into my performing but, I have to admit, the only non standard tuning I use is drop D.
I fooled around a bit with DADGAD but basically, I decided that although I liked the sound for some stuff, I just didn't want to learn a bunch of new chord positions. I was afraid that since I've been playing in standard tuning for a LOOOOOOONG time, if I started learning new chords I would get confused on stage as to what key I was in and end up playing a wrong chord. Maybe if I worked at it a bit, that concern would disappear. But I agree it would be a good thing.
OTOH, going in/out of the various tunings while on stage is distracting to the audience. So even if I conquered the "wrong chord" fear, I would be a little concerned about the time taken for re-tuning. Obviously you could have multiple instruments in the various tunings but I do not like carrying multiple instruments and, aside from that, don't care to purchase/own multiple guitars. I have two 6-strings which is one more than I need but I can't part with my trusty Martin HD28 which served me well for many years, even though now I have switched to a Taylor 414ce. But I do take the Martin out periodically to see if I should switch back; so far, the answer is no.
But I really do like the idea of other tunings and this thread will inspire me to look into it again, thanks!