I wondered that too. How much time was there for a cutaway from the exterior shot to an interior shot and then back again. It was a really quick thing. The blast blowing by the ship--it's not like it was in slo-mo or anything where they could cut away and then go back.
Also, I may be mistaken on this, aren't there people standing on the hull when the blast hits?
If other people had time to get outside, why would the bridge crew be hanging around the shattered bridge--more likely they'd be directing the evacualtion of the saucer.