That was an unexpectedly nuanced moment in chapter 3, where the heroine, all sweetness and light, is trying to take advantage of how friendly Asuka is with her in order to try and avoid bullying, and it doesn't work so she tries to cut ties, that's an unexpectedly calculating play for a character archetype that is usually incapable of doing misdeeds in these kinds of stories.
As Asuka herself points out, it's not that dissimilar to what she, the self-serving nominal villain was angling for so she can't really argue, and it's a clear example of the Agency of a Protagonist, something that villainess reincarnation stories often downplay as the villainess functionally takes on the role of protagonist with all the agency that implies.
Now it is possible she was lying and had a nobler reason to cut ties because she was worried about Asuka getting hit with more friendly fire, but that would still remain both Proactive and being willing to use deception and cause emotional distress, much as that sort of trope has been depicted as Honorable it's still something typically assigned to anti-heros.