Orbital rocket companies have far fewer options. They want to be as south as possible with nothing but water for quite a ways.

That basically leaves CA, FL, and TX with two having ideal launch sites that SpaceX was already using.

Right? And I cannot use the beach next to naval facilities and harbors. So clearly there is a precedent for disallowing beach access near something important that has to be on the coast. There's also plenty of other beaches nearby.

"Something important" means something our democratically elected government is in charge of, not something run by a private company.

Plenty of private companies restrict beach access. Power plants, water treatment facilities, harbors.

This is less and less accepted nowadays though