The input box on Twitter is very small, the user interface works on a cell phone, and it all feels so much like you are having a small intimate conversation with a few confidants. Something horrible is said and you and perhaps the world realize that this thing is not just a harmless lark.
Twitter is a global communications infrastructure, with short meaningful names that replace carrier-assigned numbers for text and picture messaging. It's only a few short hops and some integration with shiny hardware to make that global namespace be the key to a lot more communications and publishing.
By all means, display your plumage on Twitter. Your indiscretions make up for the rest of us who are content to describe where we are eating a sandwich. We read along, fascinated, taking notes carefully on what not to say.