It’s almost as if the heroine knows and/or controls the villainess system… huh…
Yeah, I had the same thought. I was going to says that she's the one writing the objectives (it would make sense considering she seems to like it) but then I remember the rooftop incident and the fact it got the villainess' family expulsed.
While guilt over the consequences of her game would explain the heroin presence, the prompt of pushing her off a rooftop seems over the top, unless...
Unless the heroine IS in control of the system and the extreme prompt/penalty created during the rooftop incident is a result of being controlled by that spirit.
There is also the possibility that the heroine also have a system, but a different one where she has to endure the villainess' bullying. Which would also, in part, explains why she followed her.
Regardless, it does seem like she knows more than what appears at first glance.