The blog post seems to think that YouTube/Google should fight for the people who created/uploaded these parodies, but that's not YouTube's place.
If the owner/uploader of a parody wants to contest the takedown, they can do so (it's pretty easy to contest it if one of your videos is taken down due to this). The real problem is the copyright law is fuzzy when it comes to "fair use" and many people aren't willing to risk an expensive lawsuit just to keep a video on YouTube.
So send an angry letter to your congressman, not YouTube.