Safety critical systems - including nuclear bombs - need to be simple, with realistically-understandable deterministic behavior. The answer to "what would our nuclear weapons do in ${any_hypothetical_situation}" should never be "I don't know".
Even worse, if an "AI" is involved (by any definition of "AI"), that means the control system involves a Turing complete language. Asking questions about the behavior of the control system for a given set of inputs probably shouldn't require solving the Halting Problem.
edit: I suspect these so-called experts need to read the report[1] from the Therac-25 investigation.