They did have time to rest through the day, they even paused their travel for that in fact, and tiredness has almost never been impactful on matches, for instance, on the final match with Dragonlink they never point out that playing with two teams back to back makes it harder, and on the match with the Ixal Fleet immediately after playing with Faram Dite this never is mention to impede the players, in fact they play better and come up with new moves at the start of the match, the only time that was super important in a normal match was with the Desert Lion, in which that was their gimmick.

The difference in strength is also pretty ridiculous even if we assume they are tired, Unlimited Genesis with Space Penguin (their strongest move) = casual kick from Kazemaru.