Okay, I see what you're getting at, and I think I'm going to disagree. It may be a precursor to Thinking: a childish organizational principle drawn from observation of the real world. If you cry on the playground, you get called a crybaby. But if you get angry on the playground, people fear you. So getting angry is better than crying. But if the teacher is around, then crying yields better results.
Again, it's just a simplistic, raw organizational principle that any child can master. And it's probably part Thinking (a precursor to Thinking); but it precedes development of the functions so it's probably not real Thinking.
With time and complexity of the data gathered, it grows in complexity as well. But it's probably not Thinking as INTPs use it. It has to be geared to the slipperiness and grayness of emotions. Witness the difficulty that INTPs have when they try to master emotions with true Thinking; and my organizational principle certainly doesn't do me much good when it comes to dealing with math and science, which I suck at. For example, I do quite a lot of something that resembles Freudian association when dredging up and organizing emotional data; not very Thinking-oriented, I assume. So again, I suspect it's just probably just a raw organizational principle, a subset or component of overall Fi.
Again, I would assume that Ti develops in INTPs in much the same way--childish organizational principles used to incorporate math and science. With time, the organizational principle grows in complexity. But is that organizational principle Thinking itself, or is it just a component of Thinking? It's separate (it's the mortar/infrastructure) from the rules of logic or math that you learned in books (the "bricks").
In other words, as I see it, there's an organizational principle like DOS or OS X; and then software (the bricks) is laid over the top.
That's pure conjecture, of course. Frankly I don't know what the hell goes on inside the head of an INTP.