I still fail to see why people don't call Traps Futanari. Because unless my definition of Futanari is wrong, it means girls with penises. Now from calling them a trap you are ADMITTING they look like girls, and they have a penis. Why do people dislike calling them Futa then?
comment #20237 Futanari very specifically refers to hermaphrodites, whereas trap refers to a person who is male that looks/acts female. Jun lacks any of the other requisite bits (ie breasts, and depending on artist vagina) to be a futa.
I've seen official CGs from the Happiness! game where Jun has a functioning vulva, so it seems he/she/it can change physical gender (perhaps according to the player's choices?).
Depending on the choices in the game depends on Jun's...gender. If you choose all the right things at the end of the game you get a choice as to whether Jun should change his gender with magic, thus stopping the trap war or you can tell him that he's better off staying who he is, a crossdresser. To get this you have to have the 'Best' ending with Jun.