No, Edo isn't reversed gender roles. They're all about fitness and equality. The men and women act and dress alike.
The Edo were a free-spirited people, extremely welcoming and friendly and very open sexually with themselves and visitors. Edo women greeted men with a deep embrace, and offered themselves sexually to any man who would accept them; Edo men behaved in the same fashion with women. It was customary among the Edo to run from place to place instead of walking.
There was limited variation in Edo clothing, with most members of the species wearing the same type of costumes. However, only the leaders and the mediators wore necklaces including the Edo symbol. The mediators wore a grey and black costume that identified their responsibilities. Edo boys went about shirtless, but girls and adults of both sexes wore tops.