Not only have you given your boss a chance to compromise your position but you won't have the rapport with their boss that they do. You are just a complaint and until there is a trend of these complaints they most likely will be handwaved away.
Maybe you haven't been through the circlejerk enough but the politics of a place totally shoot down your argument.
Oh, you know throwaway0a5e, they are a troublemaker. I have been trying to deal with some of their performance issues off the book to keep their record clean but you know don't like that and are now calling me out for whatever. You trust me, right boss?