Yes, we want to be seen, but still hidden from people we know. Going out like that is also some kind of public test that we can walk around dressed in women's clothes, present outself as women and be part of "normal" sociity.
And there is also a thrill of possibility to get caught. Maybe in our subconscious we also want to get caught. That way we would be out of the closet, if we wanted or not. It just happened. If it will be a bad experience, we can blame the destiny, not our conscious decision that put our life upside down.