Should reporters tweet under their own names?

Coverage of the police crackdown on Occupy Wall Street protest and the media who cover the scene (and tried to cover the arrests) has spurred new discussion of one of the trickier questions posed by new media: should reporters paid to be on the scene for mainstream news media tweet out what they observe under their own names, before they file to their employers? In other words, do they promote and feed their own "brand," such as it is, over the one paying the bills? Poynter aggregates some of the discussion.