People move to places with economic opportunity. That _tends_ to be places with free speech, but look at how many people move to places like Saudi Arabia or the UAE.
Almost 90% of the UAE’s population consists of migrant workers. The U.S. can’t get anywhere near that. Since people flock to countries with free speech, then the UAE must have extremely free speech laws. QED.
Of course this is as wrong as your original claim because seeing where people migrate is not a reliable indicator of whether their destination has “free speech” or not.