In this 1986 Court case, Marvin Fisher and Jack Segal brought a suit against Rick Dees for infringing their song "When Sunny Gets Blue" with a parody song entitled "When Sonny Sniffs Glue." Besides infringement, they claimed unfair competition, defamation, and product disparagement. The Court decided that Rick Dees did indeed deserve fair-use protection because it was a parody.
The important points in this case are that every instance of parody defense must be considered individually, that a humorous or satiric work deserves protection only if the copied work is at least partly the target of the work in question, and that parodists will seldom get permission from those whose works are parodied. As they state, "The parody defense to copyright infringement exists precisely to make possible a use that generally cannot be bought" since "[s]elf-esteem is seldom strong enough to permit the granting of permission even in exchange for a reasonable fee." I would argue that the same is true of satires, even if they do not specifically comment on the original work, so they also need some form of protection or compromise for when the rights are denied. This follows Judge Kozinski's logic, so that satires are not stifled simply due to the nature of their work.