It would be a unique way of demonstrating Superman's less obvious powers. His x-ray vision sees a sniper setting up. He hears the trigger being pulled. He bends down to pick something up at just the right time. Now he's got a story about how the alphabet-agency is trying to kill him to stop his expose.

Ultimately it it revealed (in story, not publicly) that Lex Luthor was annoyed by the agency and leaked the dirt to Supes.