We don't know how many nukes Russia has, even though that's knowledge shared by thousands of people. There has only been a single point of information about Israel's nuclear weapons program, Mordechai Vanunu, and we still barely know anything. Heck, we don't even know if and when the Nintendo Switch 2 will be released, even though again thousands of people must be privy to that information.
I don't see what people find so unrealistic about conspiracy theories in general, especially when massive nationstates are involved.