Oh I'm not denying the 10th had his fair share of Fi moments, but for the most part he seemed to run on the ENTP Ne(Ti)Fe Trifecta. I can't think of many long-winded arguments he had, but he LOVED proving he was right and pushing his logic on everything. If someone disagreed with him, he would very quickly (like in the span of 15 ish seconds) find inconsistencies, pick apart their logic, and assert his own. Pure Ti.
I honestly think the writing became a bit uneven and inconsistent in Ten's later season(s). Like in the first two to three seasons he had a lot less Fi centric moments than in his last run. Remember when he destroyed the Racnoss Empress' children in his second Christmas special? He gave her one (quick) chance to leave and then, without a moment's hesitation, drowned her babies. And just stood there watching with this cold look on his face haha. Donna was even like "Uhhh...you can stop now." I'd say that's easily Ti over Fi. At the same time though, I can't see the 10th Doctor from his last five or so episodes doing something like that. That's why I chalk it up to uneven writing. His dominating Fi side just kinda showed up out of nowhere, where as early on it was just sprinkled in here and there but clearly not one of his main functions.