I think it's more of a friendly competition. Titans are kinda left out because they're more of the backbone soldiers defending the wall, they don't have room or time for that. Hunters and warlocks are the ones with free time beyond the wall and studying the travelers mysteries. I see it this way: the titans defend the wall, there's no doubt what they do helps mankind, where hunters and warlocks are constantly trying to prove they're still worth what they're made of