As part of our sekkrit discussions between moderators I asked to be suspended on a site to see if suspended users can edit their profile. (Hint: they cannot.)
However, while suspended, I noticed that all question pages still had the "Answer question" box. Also, the "Ask question" page didn't return a 404 like the edit account page did, but loaded normally:
Unfortunately I was unsuspended before I could find out. Sure, I could suspend myself on Gaming, but SE treats suspended moderators... weirdly, as you might have guessed :)
At any rate — is this by design? Can suspended users still ask and answer questions? Or do they get blocked only on submission? (I'd consider that a bug.)