Idk... . I saw ILI typings and I read he is a bit different in the books. But Fe-polr and Fi Hidden agenda is really not something I could see for him (in the show). From my point of view, that guy srsly gives zero shits about Fi. For me he also has some creative Ti stuff going on. Compare him to Tywin Lannister, who I think is Te/Fi. He ordered the Red Wedding and if you saw it, it’s horrible. The slaughter of Robb Stark and Catelyn and the other Northeners. But look at it from Tywins POV. He slaughters them, but ends the fighting on that side, and less people will be killed on his side. He can start to concentrate on his other enemies and in the end from his POV it’s more efective overall. So you can see his practical action (Te) spares a lot of lives on his side - underlying Fi current.
You often have this logical/ethical conflict with him. You could say, that he sometimes comes from a place of responsibilty and necessity. I mean he sees himself/is head of the family. He despises his father, because thought of him as weak and that he did not prove that he can handle situations, so he has ot jump in – see house Reyne of Castameare. If they would have tried to start war against the Lannisters, what would inhibit other houses not to do so as well? Then you would have deaths and instability in their part of the realm. Tywin is all about taking the decisive step in time to prevent sth. like that. Same with the Red Wedding, he kills Robb Stark and you have less deaths. It’s all about the weighting of decisions against each other and Tywin sides with the option that is the most effective in the end. Hence people even say he was a very good hand to Aerys Targaryen and provided stability to the realm.
So what I mean is that the action overall isn’t really ethical (yeah..), but the choices are often not great to begin with, but when you dig deeper there are traces of his very own ethical rationale behind his decision making process. It‘s introverted in Tywin, valued, but dude is not going to run around and parade what a ethical person he is. There is no ego involvement there. With Littelefinger it‘s different. See his whorehouse. Really they allege to some stuff that’s going on there... like this scene with Varys, who noted how this one Lord likes his boys young and what not. I mean with Fi Hidden agenda, it should be more like he gets the job done, but when it goes against his feeling rationale, he would wonder to what price? But with Littlefinger it’s like he just doesn’t care. He probably sleeps like a baby at night. For him it‘s probably all the same in the end.
For me he comes more form a place of an internal thinking rationale. Like with his chaos speech: ‚some cling to love, the realm etc... illusions... the ladder is all there is‘. He can walk to the Tyrells and argues stuff there, then he can talk with the Lannisters and talks other stuff there. There is no feeing rationale in the sense, that he prefers one thing over the other (based on some sort of internal rationale, what would repel him etc.) - zero vibes like this from him. It’s more like he is presenting his information, with this detached/objective ‚common sense‘ tinge, but actually somehow it’s also mending stuff how he sees it fit with situation – Ne. Like logic is something subjective, like you can connect the dots how you want. Due to this ‚creativity‘ he has enormous ‚persuasive‘ skills, which leads him to be this good with ‚convincing‘ people of stuff.
This is also where I think that Fe comes in handy for him. So Fe/Ti? I also remember how I read about how Littlefinger was actually the force behind everything. The old hand Jon Arryn got poisened and Ned Stark replaced him. Littlefinger persuaded Joffrey to behead Ned Stark and starts the whole Game of Thrones. He is very potential grasping in time. He sees the potential of a situation/of new players, how certain situations can develop to his advantage. Like he grasps opportunities and adapts quickly with whatever coming up and then it starts to spread out from this. So Ne? That’s where I think Fi as an internal rationale, would actually be antagonistic to the way he goes about stuff. I’m not really closed off to the ILI typing. I would just like to see how Fi Hidden agenda or Fe-Polr is playing a part in him. Also it might be interesting to look at his interactions with Sansa.