As I said earlier, I think it's unlikely that Hair alone refused to come back out.
My interpretation of events it this:
During the tea break, the Pakistani players/officials/captain/whoever decides not to come out after the break as a protest against the ball tampering call.
Following the break, the batsmen and umpires come out onto the pitch, but Pakistan do not.
Taking note of the fact that the fielding team are refusing to play, Hair and Doctrove decide to award the match to England, in accordance with the laws. Failing that, they at least decide to suspend play or something. This exact bit is still up in the air.
Pakistan then decide, presumably with the guidance of the administrators and diplomats, to come out onto the field, and the President guy gives the thumbs up signal and they come out onto the pitch.
The umpires and the batsmen don't come out however, as they've already acted on the presumption that Pakistan were refusing to play. Pakistani officials and Bob Woolmer then complain that 'the umpires are refusing to come out'. This is technically true, but how could they come out if they've already made a decision based on Pakistan refusing to play?