Thank you for clarifying.
From the OP link:
“The government cannot excuse its indirect censorship of political speech simply by declaring the disfavored speech is ‘false’,” US district judge Mark E Walker wrote in his ruling. “To keep it simple for the State of Florida: it’s the First Amendment, stupid.”
If I had to defend the FL (not necessarily Desantis) position I would appeal to the USSC on the moral grounds of the Constitution.
Its not free speech if a state decides there is a moral issue.
States rights are the rights and power that fall to the states, rather than to the federal government, according to the Constitution.
www.thoughtco.com
Since RvW was overturned and given to the states to regulate the USSC may agree with FL.