The point is she's a fan, so she's obviously going to have that gimmick around them, throughout the first episode whatever happens she'll probably be taking notes about how they react to things, or something of the sort. She wil still be a "fan" type throughout.
By season 2 I'm expecting them to try to expand on their stuff and it'll be one of the things that get dropped, if not just slightly. It'd be treated like progression in the sense that they become more family then "special relatives and fan".
Even if it was just the premiere, which I doubt it will be, it still showed she has that side to her and it'll be a very reoccurring thing, she's just too grating, for some reason it's hard to have a female character not be quirky or very-excited and annoying, instead of just relaxed and going with the story or what-not (can't explain what I mean, I just mean not so vocal) but that's not my main point, I just don't like the personality.