Any chance someone's spliced into orange wire for aftermarket stuff, like radio, alarm? If so check splice.
I wouldn't recommend re-wiring and bypassing relay at this point since it's presumably in the circuit for some reason, albeit unknown to me at this point. Relay not simple contact/coil type, also has solid-state circuits.
Will post later if something comes to me, just a blank right now.
p.s. I've temporarily loaned out my wiring diagrams so I'm trying to recall circuit from my posts here.