Wasn't it compared to Taiki's and even her own determination to win? sure she lost but Taiki also lost many times, if that didn't stop him I don't see how loosing would imply Hina would've learned to stop.TO be honest, this whole part of Hina not letting go is really annoying.
Not just because it's sad for her, but because she is not respecting Taiki acting like that, he already rejected her and it's in a happy relationship.
In the writing side of the story, it's just feels that the mangaka throw away all her progression as a character