Ajax is hardly a lone wolf. Rather, it seems he only gets "I ONLY WANT TO BE BY MYSELF" when he thinks he's found a good fight at last. He's got a warped sense of honor.

It'd be easy to mistake him for trying to fight Ganon, considering how he teleported right on top of him and attempted to bother Ajax. Heck, if you're confused about the situation, [i]ask in OOC[/i] and don't abandon your group.