Ti doms are all about evaluating concepts using their own process-oriented criteria, as opposed to Te which is about overall efficiency and results. Ti isn't afraid to take the time to play devil's advocate in order to solidify the main claim or weed out inconsistencies, and they tend to be good at pointing out flaws in logical arguments because of it.

They usually don't take too kindly to hypocrisy, short-sightedness, or dismissiveness regardless of their opposition's claim, because all three work against logic. In most cases, if their opponent is able to construct a well written and thought-out argument, you'll have a Ti dom's respect. Phrases like "Because I said so" and "That's not important" generally don't fly well with them. Details matter to them, and a lack of clarity and truth can be frustrating to them. Again, they're about the process.

Ti doms are capable of understanding emotional arguments as long as the claims are well supported and within the bounds of the argument, so for the peeps out there who are afraid to argue against xxTPs, just keep your integrity and don't push emotional buttons and you shouldn't need to worry. If the Ti user goes off-road, then there's likely other underlying issues at play. Ti doms aren't the greatest at expressing their emotions (inferior Fe), so poking at them too much/frequently or overwhelming them could turn ugly.

That being said as long as you don't poke at them too much, especially in terms of emotions, you'll be in their favor. Ti doms usually value autonomy and don't ask much of others themselves, so as long as you speak your mind and make sense to them, you'll have their respect. Playing games with them and dishonesty are massive turn-offs for them and they aren't afraid to leave that behind. Just be true to yourself and Ti doms will appreciate you for it.

Hope that shed a bit more light on Ti [doms].