FDIC Section 19 and internship eligibility?

I am confused by the FDIC Section 19 requirements for de minimis offenses.

The offense occurred in NY. I was with a friend of mine. She had weed. We both got a Desk Appearance Ticket. Ended up getting ACDs. In six months (im about 2 months in so far) the case gets dismissed, the arrest record is sealed, and pursuant to NYS law, the arresting precinct must destroy fingerprints and mugshots (or i can choose to pick them up). Then DCJS updates my record up to the FBI background checking systems. In fact, a new york ACD is better than just a dismissal because it renders the arrest and charges a nullity; NYS supreme court has ruled that I can put "no" on arrest questions because the legal definition of "null" is "never occurred."

So I got lucky. But at the ned of the day, I got in trouble for something I had no connection to. Is the FDIC only concerned about crimes that involve breach of trust or honesty? Even though i went through a pretrial diversion program, my offense didn't have a connection to honesty or trust, so am i required to fill out an application?