Is Letterman Handling Controversy Well?

Late-night TV host, David Letterman, is embroiled in a controversy surrounding affairs with show staffers.  He publicly told his studio audience during his show.  From a PR perspective, did he do the right thing?

My opinion is yes.  Tell the truth – it’s rare enough that it happens in show business or with celebrities – and let everyone decide for themselves what’s rigtht and what’s wrong.  Thoughts?