YouTube does punishes false claims through their Content ID system, though, as that's a system they control. From their website, "Content owners who repeatedly make erroneous claims can have their Content ID access disabled and their partnership with YouTube terminated."
For example, a video of mine was ContentID claimed for a public domain piece of classical music. I successfully contested the claim (the scammers give up quickly because their bread-and-butter is the 95% of victims who YouTube scared away from the "contest claim" button, or who never revisit the video page after posting). About a month later, I re-edited the same video and re-uploaded it, and I got the same fraudulent strike from the same scammer that I'd already successfully contested.