Sure parody is a defence to copyright infringement. At the end of the day, it’s not my job to say it’s protected by parody. That’s your job as the Defendant. I only have to prove that you infringed onto my copyrights.

Even if it is clear parody, I can quietly withdraw or settle my claim against you to prevent others from even thinking about it. It’s why SLAPP (Strategic Lawsuit Against Public Participation) legislation has to exist.