JBP does use words like "analysis" quite often and I find his logic to be quite complementary, so I'm inclined to agree with @squark that he is LxI.
As for his instinct stackings, here is yet more evidence that "social (so)" is his last instinct. Much like Carl Jung, who was typed as sx/sp by the Enneagram Institute crowd, Peterson rejects any sort of political involvement and instead reasons that the power lies with the individual:
"You know I’ve thought for a long time about a political career, really forever, since I was like twelve, really for a long time. And I’ve always decided against it because it seemed to me that the proper level of analysis, with regards to the solution of the problem that we’re facing, isn’t political. And that’s why I think it’s a mistake when what I’m doing gets politicized, even by me or other. I think that the way that you deal with this is to put yourself together, I really believe that, because I think that individual people are far more powerful, they’re certainly far more evil than their willing to consider. That’s also a sign of their unbelievable power. So, I think what you do is, aim high and put yourself together and stay the hell away from the ideologues. Because they’re hiding behind a wall and not able to come out and fight on their own behalf. And so, the way forward through the ideological mess, and that’s the lesson of Western culture, is place the individual at the place of paramount importance and to make the group identity emergent only when necessary, and secondarily if ever."
As sx/sp, I fully relate to these statements.
Yet another social-last bit that was noted by many people who have watched Jordan Peterson's videos: while lecturing he tends to intensely stare at one person in the audience. In case the audience is too large, he disengages and lectures from his own personal bubble making very little eye contact as can be seen in the video. I found myself following similar patterns when I had to do some public speaking and totally relate to this #soclaststruggle: