the challenge is always determining what the "bins" are.
maybe the government has no bin for "investegated by the FBI for a silly and innocuous reason". but maybe they do, and lying about it slots you into the bin for "lied on their security clearance form".
In the security space you’re encouraged to be as transparent as possible. Most modern forms have ample space to write in detailed explanations.
I have some silly not nearly as interesting infractions and I wrote them out in detail explaining, without any issue in processing background checks. It usually is something that’s asked about in an in person interview at that point.