So glad you don’t have to wait!! I think the court house oaths are for name change and I suspect they only happen once a month. While I was waiting at his interview, I asked the security people if they had any idea how often they have the ceremonies. He said typically they have them every Wednesday.
My husband is shortening his ridiculously long latin name (2 first names and 3 last. His parents also included his maternal grandmother’s last name). It unfortunately hasn’t made anything easy in the American system.
We also learned that we can’t go to social security the same day to update his name. The SS website says you have to wait 10 days after naturalization, thus delaying passport application.