I think he could have done a better job at expecting to go around a bit earlier
I imagine that, right until the moment (s)he hit the throttle, that the pilot of EOR was - quite reasonably - anticipating the crossing a/c to stop short of the r/w...
From the information available I couldn't seen anything to criticise that pilot for at all; in fact it was probably the best and only action to take to avoid an otherwise nasty probable contact. Well done!