By my reckoning, Fe can be used for terminating social interaction. If the other party makes them feel bad, they tell them off.
I figure INTJ to be the least sociable, because the opposite of that is ESFP, who is less discriminate due to judgement's secondary position.
The problem with this by the same logic, an INTJ also has a judgement function in the second position.
But if we use the same gate the that says the INTP is least sociable because of a weak/lacking socializing function, the INTJ again trumps the INTP.
There's also the consideration that INTP doesn't bother to push away anyone because of Ne's flexion, without the personal bias of a feeling judgement. Essentially, he doesn't care. It's lucky for the INTP that they can easily detach from the situation, so in a frustration, rather than shoo them away like an ENTP or an ESFJ, they simply 'go away' for a little while, while they figure a way to
As I see it, INTP can be plenty social. I've seen INTJs deliberately send people away so they didn't have to socialize.
It's that P digit that makes being around people easier for them. Flowing extraverted perception, reigned by impersonal Thinking.
I'd say what's more likely is that other people would rather avoid the INTP because the socializing might be a bit boring.
I feel like I'm leaving something out here, but...
eh, it's a little bit to chew on.