Interesting thread. Right before I read the OP, I was thinking about how I really believe that my Ti is more "exacting" or "precise" than Te is for Te users (on average), but the problem with that is that if I'm having a conversation with someone and am presented with an important decision to make or a response that needs some sort of contemplation, I almost need to say, "Give me 10 minutes" - then go into the bathroom, lock the door, funnel the situation through my Ti, and then I can reach that very exacting, precise, well-thought out decision. Te users are quick on their toes and able to come up with solutions/answers on the spot.
So, that's one way to describe Ti, at least from my perspective. It is extremely precise and very good at cutting out the excess "fat" in any given situation. I've seen Ni described as being aware of many possibilities. Ne sees possibilities as well, but then Ti effectively eliminates all of the less desirable situations in very quick fashion.
Let's say that I need to accomplish some task very quickly. A family member is in a pinch and needs money within 3 hours to get out of some situation (just an example that comes to mind). I will immediately think of all the different possibilities by which I can accomplish this task within the alloted time. Let's say that I come up with 4 different "possible ways" that this can be accomplished.
I sit and think about those 4 possibilities for a moment. I run them through the Ti filter. I may even jot down some diagram (not for something as simple as this, but for something more complex). I might discover that 1 of the 4 "possibilities" really isn't possible - it would take longer than 3 hours. That's off the list. It no longer matters - it's now completely irrelevant and anyone who brings it up as a possible solution at this point is just being annoying because I've already thought it through, mapped it out, checked into it and I KNOW that it won't work. It's now out of the discussion and I don't want to talk about it or think about it - it's just wasting time. Now I have 3 possibilities to work with. My analysis tells me that they are all "possible", but option #1 could possibly "not work" - there's some chance the money won't get there in time. So, it's still an option, but I'm not too happy with it because it could fail me. Option #2 would definitely work, but it requires a lot of running around, filling out of paperwork, requires me to leave work - a real hassle, although it would work. Option #3 will also work but it also has some hang-ups, although not as much as option #2.
So, I determine that option #3 is the "best, most efficient way of getting this project done." So, I discard option #1 (it could fail), and I keep option #2 on the back burner, a plan B so to speak, but mainly I have cut out all other distractions and irrelevant discussions and I'm going with option #3. It truly is the best option and I know it is. But, I woudn't know that if I didn't have time to think about it/analyze it/research it. I can't usually come up with that type of response on the spot. It requires reflection. But, once that reflection (which requires alone time) has been had, I know that I've reached the most efficient response.
This could apply to anything in life, I think.
While Ti is limited in its ability to come up with an immediate response, I do not agree that Ti is useless in society. If we are given the time and space to run things through Ti, we are extremely efficient, knowledgeable, and together with Ne we can come up with some really interesting ways to contribute our knowledge and passions to others, society, and the world.