I disagree with the bolded part. In my example of emoting over the movie, I compared existing emotions to an internal, "idealized" emotional standard and adjusted accordingly. I didn't just "approve or disapprove" either the movie or my own emotions. Both were subject to comparison and judgment.
I already stated that I used a form of "logic" (as derived from real-world consensus modified by my own experiences) as the mortar or organizing principle. And I use that to organize emotional "bricks" (personal emotional experiences or conclusions about emotions) to create a model. The model is then used for comparisons and a guide to behavior.
If you want to call that Thinking, that's fine with me..
Yes, I think we would be in agreement that this cognitive process was Thinking.
I suspect Ti is pretty much the same. INTP children would initially derive an organizing principle from real-world experiences (what works vs. what doesn't work) and collect "bricks" in the form of mathematical or legal principles that bolster their cause. In time they build a system for quickly comparing whether a given real-world experience or situation is logical or not.
The emotions of the INTP are focused on impersonal topics, yet emotions of the INFP are focused more on those that engage their passions directly.
That is the first notable difference.
The second difference is the emotions of the INTP are engaged less than the emotions of the INFP and for this reason the INTP has an easier time with logical analysis. In almost all cases however, the emotions of the INFP are not engaged to the point where all logical analysis would be rendered impossible, and in the cases of INFPs with a well developed Thinking, rigorous analysis is often performed on issues that engage the emotions of the INFP.