The 1st Amendment does not apply to private property. Property owners, even owners of public utilities, can absolutely set boundaries and trespass people. In some states, property owners can literally shoot trespassers to death.
In the case of truly public spaces, historically it's considered that other then in very specific situations (bathrooms for example) you have no expectations of privacy and can be recorded regardless of the shape of the camera.
On private spaces, which people constantly mix up with public spaces, you're absolutely correct that it is able to be restricted and can define very granularly what's acceptable. A plane is a private space. They can restrict anything they want (limited by protected class/characteristics in the US. Other countries may vary).