I can definitely see you turning the tables on her, but I guess we would need to define what that even means.
To me, The Promises that you get to make (Help Rosalind win, help with Veronica's struggles, help Felicia ___ ) seem like the way you turn the tables on Kathleen by undermining the spirit of the entire Carnation, but I could see that not qualifying for others... Though I guess I don't even know Kathleen's attitude on that particular matter. Chuck at least seems to care about the "honor" or "code" of how they do things, maybe Hana's dad too, but if it's revealed that Kathleen's just playing along it wouldn't exactly surprise me.
I doubt we'll see Kathleen redeemed as ename144 defined it on the previous page, but I could see a "when did I fall so low?" -kind of moment of epiphany, or something along those lines. Kathleen is a despicable human being, no doubt, but I don't think she's completely rotten to the core; which is probably the largest reason I want to hear her thoughts on all of this from a philosophical perspective. Her worldview is clearly completely different from mine, and her stories about her sister and comment on "kindness being beaten out of you" coupled with her few moments of emotional connection/vulnerability (Assuming her little lapse at the end of the latest episode wasn't just deception/showmanship) make me really interested in hearing what she has to say about all of this stuff. In contrast, Chuck sounded very hand-wavey and nonchalant (which isn't very interesting), while August just strikes me as someone who has seen the worst society has to offer and is okay with it.
I could be wrong , but I don't think Kathleen cares about competitive spirit or even who wins the competition as long as she gets her show. She all but states that she will rig the results to ensure all three Carnations are still in the running for the final week; that's why the rules are made as we go along, rather than being posted in advance. She even tells the MC to play along with any attempts to bribe him because it will keep the girl motivated. So even if the MC rigged the contest, I doubt that would count as turning the tables on her. Unless it short circuits the competition, of course. That would definitely count... assuming the MC manages to survive her wrath. (That said, it seems unlikely from a game design perspective.)
Similarly, I don't think Kathleen would be surprised to come face to face with her actions. She's fairly direct when giving orders or advice to the MC (take advantage of an attempted bribe, remind Veronica the gym is literally her home if she tries to back out, etc.). She's aware that her partners would disapprove of her deal with Abel but goes ahead with it anyway. To me, Kathleen seems quite cognizant of what she does and just doesn't care about the ethical implications. If she
is going to have some sort of redemption arc, I don't think it will involve holding a mirror to her soul. I think it will be about proving her axiom (that all men can be controlled by their basest instincts) wrong.
I actually think Chuck is the one who would have trouble truly seeing his soul in a mirror. Kathleen describes him as a child but in my view that's only half true. He has the ignorance and simplicity of a child, but it's a result of willful self-deception rather than inexperience. As he says, he's always been a pervert and through the club he's found a way to indulge that side of himself. But it's much easier to indulge when it's all fun and games, so he ignores the ugly harm the club does to grease its wheels. He has compartmentalized all of that. Hence why leaves the day-to-day operations to the others and tends to speak in metaphors when he does get involved ("a little fire I need to put out," "talk her down from the ledge," "fighting trim" and the like). If he were forced to address all these consequences head on he'd probably start to crack.
For August, I think you're basically right. He'll use whatever tool (fair or foul) is at hand to solve a problem because he's just looking out for himself. Or at least he was before Hana entered the picture; he seems to be unusually focused on her. Perhaps he is getting old enough to yearn for a personal legacy and decided Hana fits the bill? If so, it will be interesting to see if he could actually care about her as a person rather than just a symbol.
Assuming any of my interpretations are true, of course.
EDIT: Actually, something minor that ename144 said at some point that I couldn't be bothered to respond to at the time; I don't think Kathleen herself is a mystery as such, I should have properly emphasized that it's the why of it that I'm interested in.
On that I certainly agree. I'm very curious to know how she became the woman she is (or at least comports herself to be in the club), and what her end goals are.