The president does indeed love to gossip and stir the pot.
He very quickly becomes personal. This is a risk anybody takes when they decide to work for or with him. Not everybody would knowingly choose to do so.
I used to be able to find it somewhat refreshing and charming. Not any more. Twitter would be a wonderful tool if he had assistance crafting his messages. He too often demonstrates a disturbing self-centeredness. Id prefer he focused on representing the American people more and himself personally less.