Well, she tweeted at him. Would you do that if you were just making it up? What if he responded and said it wasn't him, or if they showed up being pictured elsewhere?
I think they probably did go out for a meal. Let it be a good-bye meal before he heads off (wishful thinking!).
I also think we may get pics. Went they didn't want to get pictured in the wake of Liar-Gate, they seemed to be eating inside the hotel. When they go out...it seems to be for a specific reason.