In my ESTP dad, it tends to manifest in a lot of strategies to circumvent rules to get what he wants, shortcuts when he is doing work with his hands. It also makes him brutally plainspoken at times.
In my INTP friend, it gives him a very funny deadpan/absurd sense of humor (with help from Ne), and a startling talent for linguistics, but on a more annoying note when he is acting more Ti-Si, he just gets into tracing the intricate reasoning of things he has thought about, but doesn't consider his audience at all. I am flattered he tells me stuff though, he doesn't rattle on to just anybody. In fact, I am literally his only friend. He also tends to reject a lot of things out of hand, he has a very narrow band of experience, and I say that as someone who also has a narrow band of experience.
Ti reasoning is just so supremely unconcerned with humans sometimes, it can make one feel superfluous. I am often surprised to find out my INTP friend cares about me, and he is often surprised I have doubted it. And then I feel guilty. But to be fair, I am the only human who has made it this far with him, so I don't want to put ALL the blame on myself. I just tend to think of everything in terms of human values, and that tends to be the last thing he considers.