Your INTp description is pretty good. You really nailed the mindset I took on but my motivations were different. My motivation was simply to be the best in the mental and social sphere and that meant indirect manipulation of my surroundings. I also am/have been in similar circumstances to what you described such as Ive lived under a tight house with my LSE father who has a strong direction for me and my siblings. Though I wouldnt really say Im sheltered. Of course the scenario youve given isnt suppose to fit every ILI and it could be very true for some ILIs.
The descriptions are gona be biased cuz I can't see all the pieces. But if you give me your own reaction to them I should be able to revise them using that info.
I haven't gotten to reading this through, but I like the idea.
Writing/Thinking while high