I voted on the first one, but it's a little of everything. My gi instructor was a bb in judo before he got his bb in bjj. We also have seminars (one yesterday for example) that are exclusively judo where we pick a few throws and work on them. However it's not judo for the sake of judo, it's judo for the sake of bjj, so essentially it's the same thing. Similar to a judo school that would focus heavily on newaza as well, but with a bjj instructor.
We don't have a wrestling instructor, but I wrestled prior to bjj, and my other instructor is well trained in greco, so he incorporates that into the no gi class.
Since bjj is essentially a hybrid art, it's all one big thing to me, and I no longer divide what I am taught into bjj, judo, and wrestling.