Nanashi "XI"'s Links
Nanashi doesn't know Trigger personally, but he would probably think of Trigger as a loyal fan and would probably treasure a friendship between them. However, regarding the more serious nature of their jobs Nanashi might not like Trigger's happy-go-lucky and carefree approach to the situation. He would probably feel concern for the other's well being more than anything since Nanashi (while opposed to being an arbiter overall) feels that his work is to protect people. Especially his fans.
Trigger idolizes XI, but also has a slight rivalry with him. He was drawn in by the bad boy image that XI had. Eventually Trigger's interest in the idol sensation led him to find out about Nanashi's secret side job of arbiter work and while he kept his lips sealed about it, his fascination was only further piqued with the other Oto-chro. Their jobs were somewhat similar in a way: Nanashi, an arbiter on the side of justice and bringing order to the galaxy, and Trigger, the bounty hunter bringing in high price bounties of those on the wrong side of the law. To him, XI was more than just a musician. He was a rival and hero.