Labcoat is Ne-LII afaik so his descriptions of LIIs will naturally put more emphasis on workings of Ne, while you sound like a Ti-LII. He is actually not describing Ti alone but rather Ne->Ti flow of information:
I would disagree with him that your "exhaustiveness" of reasoning is indicative of ILI but rather I think it is indicative of the difference between your subtypes. Ti-LIIs who place focus on Ti and Si seem to be given into engaging in more extensive and detailed analyses than Ne-LIIs like labcoat.in INTjs' minds, ideas and beliefs form more or less spontaneously through an interface with the subject matter (Ne) ... it is only after the belief system is formed that logical implication chains are asserted. (Ti)



