Personally, if it was really a true emergency, you should ALWAYS go to the closest hospital regardless of your catchment area. They cannot and will not turn you away.
That said, if you have something that could cause premature delivery, but if you can spare the extra 15 min or 30 min to get to a "better" hospital, I would do that. And QMH is the best...
Ultimately though, if you do go to say QEH, they do have a NICU there and can care for premature babies. If there are complications that mean the baby would be better off at QMH, they will transfer the baby there.