Obama losing his cool became big news because he is never, ever challenged - on the facts , on his record, on anything. He is not a very pleasant man and if you can get under his skin, he will reveal that to the American people.
The president may not realize it, but he is basically providing the eventual Republican nominee with instructions for next year's presidential debates. Obama is thin-skinned, and if you remind him of his failures or correct him on the facts, he becomes irritable and unpleasant - attributes Americans don't want to see in their president!