Logically obsessed with people

Which type/function/whatever is logically obsessed with people? Imagine a person that spends most of their brain power and energy on analysing behaviour, relationships (theirs or others), sociology, politics but through the logical lengths. Trying to spot patterns, explain behaviours. Every social interaction is mentally two times more draining because there's one brain trying to keep up with the interaction and the other brain constantly looking for behavioral patterns, collecting information. This person often guesses things about people in their mind and then wait or start an investigation to figure out if they were right or wrong. And it's not even in a form of social anxiety or anything like this, it is actually this person's joy in life, they get so excited to meet new people and analyse them like some kind of mad scientist. Often saying things to provoke some kind of situations, intentionally manipulating social settings so they can check something or get in an interaction they want. But not manipulating people! Just very carefully calculating where to sit so something will be more likely to happen, what to say so maybe a certain topic will be brought up. But not messing with people 1 on 1 as in actually influencing personal lives, just random social settings in a way that create a great space for them to experiment, observe, gather information.

Some of this is for greater understanding of people as a whole or individual persons, some of this is to figure out their place in the society and particular groups. They will often watch TV shows and tear every character apart, compare to different characters, compare to themselves. Ask other people to compare them to the characters. It's like if people were machines and this person just wants to look at every single mechanism and write a manual on it. But it's really not that vibey moody feeling the atmosphere thing, it's like a heavy thought process with actual arguments and data. And yeah, it serves creating relations too but I can't really see this as just Fi or just Fe. What is it?