The Aeon known as the Reignbow Arbiter wanders endlessly between worlds to destroy the immortal or undead beings blessed by Yaoshi. The cost of the hunt was never a consideration for Lan. In the eye of Lan, there is no difference between salvation and total destruction. Those who follow the "Hunt" Path admire determination, ruthlessness, and tenacious behavior, so it'd go to show that Lan would admire those who exhibit such behavior. Lan only shows himself to those worthy of his gaze.