It mostly an artistic question - how much lighting can a lighting designer put in there and have on at once? On a big show a couple of hundred fixtures (at 1K each) is very possible but 500 fixtures much less so. Bear in mind that as the fixture count goes up, it is to give more choices, rather than more brilliance. So the big question is just how magnificent a venue this is? Radio City is a bit diffferent to a small community theatre.
Another big question is how much heat removal is there?
I would suggest that theatre lighting has more or less reached its peak in power consumption; a couple of decades ago moving lights with discharge sources didn't exist, but they are now commonplace. One mover can replace several conventional lamps. We're within a few years of LEDs being common: There are LED lamps today, but as "spotlights" they are dim, and cant complete with conventionals. But LED screens are commonplace, as are LED bars.
What this leads to is that a couple of decades back pretty much all lighting power went through the dimmers. Today only the conventionals do; the movers, LEDs, screens etc all want non-dim "hard" power. And some of this stuff (stuff with discharge lamps, so especially movers) uses full power from startup (and hour before the doors open maybe) until shutdown, which is likely well more than three hours.
From memory the NEC requires that all panelboards running dimmers and the like need 200% rated neutrals.