I wasn't there but have seen the clip, seems you're wrong to trust BBC live text and summation as Stockers went to his right and the ball missed to the same side.
Begs the question what match were the match reporters watching ....
Worse than that I watched the Channel 5 highlights last night and the stupid bint who presents it said the same thing. This was just after showing the clip of Stockdale going completely the RIGHT way to the point that had the ball not gone 8ft wide of the post he would definitely have saved it. I had to rewind it about 4 times to make sure I hadn't misheard her.
They then spent a while discussing the "gamesmanship" of the Brighton players who they seemed to think were only arguing with the officials to put the penalty taker off (rather than because the decision was such a total disgrace) and showed the miss again (complete with DS going the right way, again). Only entertaining thing was Iwelumo laughing and saying that they obviously did the right thing as he missed.
It really is a bloody terrible show.