There seems to be no reason to consider this special case differently from a thought experiment where Omega tells that it'll put the money in the box if you believe that the box will never contain the money (strongly enough). This is a case where the heuristic of correctness is wrong, and whole agent's decision problem tells the belief-symbol to assume a state that is contrary to heuristic of correctness that normally controls it, because that state is better, even if it's less correct.
Edit: Explained in more detail below.
It seems different to me. The difference is that your beliefs come out accurately. It's easier for people (and less complicated in general intelligences) to force beliefs they know are accurate than beliefs they know are false. I can make my hand somewhat numb by believing that my belief will make it numb through some neural pathway. I can't make it numb by believing god will make it numb. Parts of me that I can't control say "But thats not true!"
Also, if you are engaging in self deception you have to work hard to quarantine the problem and corr...
Omega appears to you in a puff of logic, and presents you with a closed box. "If you open this box you will find either nothing or a million dollars," Omega tells you, "and the contents will be yours to keep." "Great," you say, taking the box, "sounds like I can't lose!" "Not so fast," says Omega, "to get that possible million dollars you have to be in the right frame of mind. If you are at least 99% confident that there's a million dollars in the box, there will be. If you're less confident than that, it will be empty. I'm not predicting the state of your mind in advance this time, I'm reading it directly and teleporting the money in only if you have enough faith that it will be there. Take as long as you like."
Assume you believe Omega. Can you believe the million dollars will be there, strongly enough that it will be?