It's not about you reacting better, it's about the game being able to recognize your reaction. Just see how less prevalent whiff punishing became in SF V when it had a really high input lag at launch (and that's a 60fps game). People didn't suddenly become worse at reacting to random buttons, the game was just too slow. You effectively got worse, even though your reactions didn't change.
Aside from input lag, higher framerates are also higher temporal resolution, which is basically motion clarity. When things are less blurred with camera movement, you will be able to discern more detail during action scenes. It may not be a huge impact, but it makes a difference.
The non-frame limited tiger would eat you even better. That's the point, not that someone playing at 30fps will always lose 100% of the time, but that the same player would do better, even if slightly, at 60fps.