So would I, if she had actually used that word or any known synonym.
"It's my fault. He looked so sad. Like I said, it was my fault. I wanted to comfort him."
That's her instigating. Taking an active step to comfort him, apparently sexually. What there
isn't in the script is any hint or suggestion that it was his idea, but there are four separate lines where she takes credit/blame upon herself. I take your point about victims of abuse, but her being the one who instigated a sexual approach has nothing to do with the fact that she's also a victim of statutory rape. She didn't commit a crime, and in that situation there was no possible sexual crime
she could commit. He
did, and in terms of the crime it doesn't matter if she started it or he did.
Now, if in the next update she says that she just hugged him or something and he was the one that turned it into a sexual encounter, then this changes.
And we are talking about sex in any form here. Haley deciding to kiss this jerk in a moment of sympathy or (as she put it) comfort would not, to my mind, be instigating of a sex act.
"So are you going to ask me? How many men I had? Including you...3. Don't get me wrong. I fuck a lot. It's just that I do it with the same guy."
It would be difficult to interpret the names that follow that conversation as kissing partners. She had sex with them. Apparently a lot. I'd massively prefer it if she was only referring to Jack there, but I think we have to assume Klaus wasn't a one-time thing.
As you have well pointed out, Haley is an obvious submissive. Given her empathy with the teacher's problems and her 15-year-old naivete, it probably didn't take much for him to take advantage of the situation. Hopefully, in the next release, we will learn more of the circumstances.
It will be interesting to see how much the story punishes, blames, or even attempts to absolve him. And, for that matter, how Haley reacts to her brother confronting Klaus, which I think we can assume he will.
Actually it's the very definition of NTR which is a plot device which is meant to trigger emotions of jealousy in the reader/watcher of a media outlet.
You, the reader/watcher weren't in a relationship with Haley then, and you have no reasonable expectation of being in one. (Also it'd be a crime.) Nor are you now. Like I said, this is an insane way to think about NTR. Frankly, the closest this game gets to any actual form of NTR in the core relationships is Haley's jealousy over how her mother treats her brother.
It doesn't really have anything to do specifically with her dad (there definitely isn't anything actually sexual there)
I really don't see why people have such a hard time understanding this. It's just another version of Master or Sir.
I think her sexual quirks of submission are definitely related to her feelings of being less loved by her mother though.
I think there's a high probability that her choice of Daddy over the usual alternatives is indeed related to her parental relationships.