Interesting to hear the perspective of someone who picks Tifa.
I would have elaborated on my post earlier, but it was 12 my time and I was tired.
Anyways, based on this scenario, I'm fairly confident that Hitomi would defeat Tifa. First of all, the 'handicaps' that are set in place are of almost no significance to Hitomi whatsoever. By the time Hayate and his ninja tribe had shown up, she had already bested Tifa. Being a martial artist who competes in one on ones, Hitomi has already proven her capabilities in singles competition. Fighting alone is what she's familiar with.
Tifa, on the other hand, would be entering uncharted territory without materia. Even with her magic, she still lost to Hitomi in Dead Fantasy, and once Hitomi gained materia the match became one sided. Even with the materia, Tifa was only able to keep pace with Hitomi, now you're expecting her to win without it all, when Hitomi gets no real handicap? Not to mention, Tifa seems like a fighter much better suited in a team match, as she rarely fights in one on ones - which leads me to another point.
One vs one is a format that's going to benefit Hitomi dramatically, especially if you're going to KO. Tifa hasn't actually won a one vs one whereas Hitomi has (confirmed) defeated Jann Lee twice, Lei Fang, and potentially Hayate. While Tifa put on some impressive displays, she still ultimately lost, and as far as I'm concerned it's substance over style. In terms of one on one feats, I would argue Hitomi has more than Tifa.
Moreover, In the recent Dead or Alive Dimensions, Hitomi is only ever shown in combat twice - against Ayane and Hayate. Her match with Ayane is interupted by Hayate, and her sparring session with Hayate isn't technically a full blown match. In a game that focuses around the ninja's entirely, Hitomi is the only character other than the ninja's to appear without a clearcut loss. To me, this combined with her 3rd place finish suggests that Hitomi is one of the top fighters in the Dead or Alive universe, while Tifa seems more like a middling character in her own. In a cross-over, I'd like to think that the playing field would be level, and a top character from one universe would be able to be a middle character from another.
If that's TL😄R, here's the cheap and cheerful version
- Hitomi has won 1 vs 1 matches, Tifa has not
- The handicaps don't really impact Hitomi at all and gimp Tifa
- Hitomi appears stronger in the DOA universe than Tifa in the FF*
- Hitomi's is more suited for 1 vs 1 while Tifa team battles.
* Not suggesting that Tifa is weak, however I would argue that Hitomi is more powerful in the DOA world then Tifa is in the FF.
Anyways, just my 2 cents.