Regarding whether or not someone is a jw by their baptismal standing is a moot point as far as the public is concerned. It is only jw's who see that as an end all as to membership or not. Even my jw is finally just starting to get it and that is saying something. When I tell him that it doesn't matter if one is baptized or not, if they go to a kh, tell everybody they are a jw, live the goofy life, go out in fs and be your typical annoying jw then to the rest of the world they are in fact a jw whether they are baptized or not.
Even my jw can understand that if someone goes to a Catholic church everyday, says the rosary, goes to confession and follows Catholicism, holidays, etc... then most people would consider them a Catholic whether they were baptized in the Catholic church or not.
As for minors, those poor souls have no choice in the matter so for their childhood to the rest of the world they would be considered a jw baptized or not.