There are two kinds of statements, descriptive and normative ones.
Descriptive statements explain "as is" relationships like "this door is blue" or "2 + 2 = 5". It does not matter if the statement is false or not.
Normative statements cover subjective "should be" relationships. These are opinions like "it should be 3 years parental leave" and thus protected in german law as beeing unrestricted. This is, what is needed for free public discourse and not the right to claim falsehoods.
In germany, you cant freely say that "jews are all criminals" and "the holocaust never happend". Over here, you can get penalized for public statements like these because (a) they are not opinions but wrong descriptive statements and (b) explicitly noted as beeing illegal. Whereas in the Us all speech is free (insults and such excluded ofc).
The question is, where do you draw the line. To which point can wrong descriptive public statements still be tolerated and where might they harm society or individuals? From the german perspective, this question is easy to answer and i am considering the storm of the capitol here :)