There used to be video of contemporary dancer from Denmark using Grunt "seer of decay" as background music. I also know on theatre in Finland use Alchemy Of the 21st Century material in their shows. Choice of one of directors, not really associated to nature of play.
I don't feel that it would be absolute necessity to cross-over to other fields of creation, but nevertheless I think it would be very nice to see more of it. I would assume many associate dance, performance arts and such with other types of sounds than pure "industrial noise", but if spirit of sound influences work, results could be good. In past Japanese noise was connected with butoh dance. In some occasions, could be more interesting live material than only man with table full of gadgets.
However, if it sinks to this lowest of modern feminist provocations a'la "women getting over fatness issues", I have zero interest. No matter who's playing on background.