So I've gotten to Zion for the second or third time and again have blown up their personality machine, but I'm not sure what happens from there. I've taken a brief look around trying to avoid other spoilers and trying to see if the Imprinter does anything else other than transmit data to the caves.
In short, do I gain anything by staying in Zion after that event or should I just leave and whatever it is will happen later on?