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Batman's boylust cannot be stated, that's why every few years Batman gets himself a new boy
Batgirl was always an outsider, always on her own, she has her own father, Batman did not become emotionally intimate with her the way he did with his Robins (I'm not a Batman expert though) even though they literally had sex.
No woman could possibly understand Batman the way his Robins do, the only thing women are allowed to understand is Bruce Wayne, they could never handle Batman