A couple of years ago at ORD, I was SSSSed and requested a private screening. This was before the new pat-downs. I went into a room that was hardly private. It was filled with people getting their own "private" screenings. We were literally bumping into each other. It was a madhouse.
I started taking off my clothes and didn't stop until the screener said, "OK, that's enough." He took a look at me in my underwear, felt my clothes and let me go. I'd do it again any time.
Bruce