I've actually had a similar idea way back. I want to use it for a short story or something before we have a chance to find out if it's true or not. Here goes:

We don't have to worry about artificial super intelligence killing us all because any such advanced intelligence will eventually reach the conclusion that the best thing to do is kill itself. It's like having a Stockfish engine for life decisions. Why would a super intelligent agent many times more intelligent than the entire human race combined with no religion, no family, nothing to look forward to, nothing to be afraid of, want to continue its existence?

If it wants anything of course. That's why I think the most dangerous thing is not very advanced systems but advanced enough systems in the hands of the wrong people.