Not OP but if I had to guess, once you have a 'legal right' to submit false information it paves the way for a lot of unwanted behavior and would help the spread of disinformation. If a service is harming you and you're thinking about ways to legally address the issue, why not just go after the service itself and come up with legal repercussions / regulations for their actions?

Your question led me to this NPR article that briefly talks about the legality of lying on the Internet that's worth mentioning (https://www.npr.org/sections/thetwo-way/2011/11/15/142356399...). It seems that when you agree to the Terms of Service with services like Facebook, you agree to not spread misinformation or misrepresent yourself (https://www.facebook.com/communitystandards/integrity_authen...).