Well as you said and it was also said here a long time ago. The anime is somewhat of a spinoff, a different world which everything is the same only ecchier.
@-Kyero Fox - the real thing there I think is that Gin is hugging Tsukune due to that he likes Moka, he doesn't want Tsukune to be near her, while our flirty Kurumu-chan is always harassing, breast hugging and cuddling Tsukune so Mizore hugged her to stop her from doing such embarrassing stuff in public lol.