Without hunting down sources, it's been stated that the Tempered tend to display the temperament and major attitudes of the primal.

As an example, the tempered Sylph are stated to display the attitude of Ramuh: justice and protectiveness of the lands considered theirs. They seek to repulse threats from without, and their attempts to temper the untempered sylph seem to be them trying to bring them into the community.

Ultimately, the Tempered could probably be described best as displaying fanatic devotion to the ideal of their 'god'.