During the rounds where Aki and Yūji face off against Kyōji and Yūka, Yūji reveals a photo album of Kyōji cross-dressing which came from when he lost to Class F in the first season and was forced to obey Yūji and cross-dressed for a day.
The difference between the anime and the manga/light novels is that photos of Kyōji cross-dressing were taken in private by Kōta which Yūka found the dumped him. In the anime, she sees him cross-dressing when Class C (along with Classes D and E) ganged up on Class A in Mock Wars to tire them out before the real War between Class A and F.
However, in the OVA it explains how Kōta took the photos and afterward Yūka is looking through them, burns the album and dumps Kyōji almost as if she never saw him cross-dressing during the Mock Wars.
I am wondering, does the OVA of Baka and Test more closely adapt to the manga/light novels than the first season of the anime did?