My feeling is the diversity statement would not be a good place to state your position on the controversy, so much as it would be a good place to demonstrate your understanding of the controversy itself. Your comment comes off as flippant dismissal, which I think we both know would not be received well.
I’m willing to bet 99% of the people commenting on this thread have never read a single diversity statement, let alone dozens. I’ve read many, and showing a basic understanding of the controversies and struggles is a good example of what you should do in a diversity statement. The high rate of rejections here come from people who don’t want to even think about diversity, and just want to do their research project. They write sarcastic, flippant, unserious and uninformed essays.
Unfortunately for them, the job includes teaching a diverse classroom, so applicants who don’t give serious consideration on how they will do a critical aspect of the job, or even what are the salient issues, are rejected. This is true of any job.