I fail to see how passively recording a space that you don't own is "first amendment protected". Passively recording a space isn't in and of itself speech.

I can photograph and publish whatever I am allowed to see in public (with very few exceptions - think Naval Air Station Key West), this has been affirmed and reaffirmed by countless courts.

The best part about publishing? You have no right to question when, how, or if I am going to do it - that discretion is also free speech.

Reproducing information is within the legal limits of "speech and press".

You don't have to have a physical, lead-type printing press to be protected by Freedom of the Press, and you don't have to physically vocalize to be protected by Freedom of Speech.