Sometimes you open a lengthy question, read through it and then discover "Closed as ..." at the bottom (sometimes only after scrolling) - oops, not something you can answer. Wouldn't it make more sense to display that message before the actual question? Or maybe even in both locations? That's really important information.
Edit: Looks like my concern would be solved by Different font color for question status => closed <=, thanks to Tim Stone for pointing that out.