I had one chance for my Sim to leave her political career (I think she was level 6 at the time) to become an astronaut, starting the career at level 5. It was so out of character for the Sim in question that I said no, but then I thought that would have made a really fun twist in her story and kind of wish I'd said yes.
I only got one or two uninvited visitors. My Sims aren't very famous yet. ^_^;; I can see it being annoying if it happened a lot. I might set it as a private residence if I ever got that far.
