>Not that this has any chance of being upheld, of course.

The author of that article seems to not have a very deep understanding of court precedent. I wouldn't count it out as unconstitutional so quickly.

https://reason.com/2021/02/04/florida-gov-ron-desantis-wants...

"In a 1980 decision, Pruneyard Shopping Center v. Robins, the Supreme Court ruled that California could mandate that Pruneyard allow protesters to engage in political advocacy there, even though it was private property. The mall wasn't being ordered to host particular messages, but rather serve as a carrier of a type of communication, which was political petitioning in this case."