A BGJD and a JD looks the same. Btw though, there's a large variation in how JDs look, and same with BGJD, so just because you see some special pattern doesn't mean it's anything special - well, a sign of it being BG. It could very well just be a variation in that particular strain/population/individual.
EBJD x BGJD will produce EBJDs and BGJDs. Given that it's a simple system that controls this (i.e. one gene), there's no reason why the BGJD progeny of an EBJD x BGJD would look any different from the parental BGJD. Diets and stuff like that may play a role, but I doubt it's the genetics side of things.