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...).

In my opinion, it isn't even information in the first place, so it can't be categorized into true or false information buckets. There are way too many conclusions being drawn from the stuff that gets tossed through the digital ether.