I feel like if I were a poor otaku fan her attitude might be oddly reassuring. Like, any idol might claim she loves her fans etc, but who's gonna believe it? In real life she's gonna hobnob with the handsome and the wealthy, not with slobs like me.
At least with Sana, I'd know that the people I envy get the same attitude as me, and that she might hate me but it's somehow nothing personal--it's not because I'm an otaku or because I'm out of shape or because I have poor social skills or any of the other things I hate about myself. So it'd be kind of OK; in a bizarre inverted way she's accepting me for who I am.
(Disclaimer note: This is a discussion of a hypothetical "I"; the real me is not actually the rabid fan type, or poor or self-loathing; to the contrary, I have a large ego kept in check mainly by my awareness of it)