At times, I think the GFS might carry some of the remnants of Julia into the Gulf, but I'm not sure. It has shown some unusual movement in some of the runs of whatever it is showing. It doesn't do much with it in most of the runs I've seen, but it is far out yet so it's early.
I haven't been paying too close attention, though I did notice the 12Z Euro on Friday showed what might be Julia's remnants, or something else nearby, going back into the Gulf, so we'll have to watch that area.