I don't think so. Privacy is about preserving anonymity, and usually applies to individuals, but more and more applies to places, buildings, etc. Privacy helps to keep prying eyes and ears from things that are of no concern, and is a matter of safety, and it is guaranteed in the Constitution in amendments 1, 3, 4, 9 and 14. A violation of privacy case usually involves placing a dollar value on harm to the victim's "interest in privacy," corresponding mental distress, and actual, quantifiable damages in the form of medical and other expenses resulting from the violation.

http://injury.findlaw.com/torts-and-personal-injuries/invasion-of-privacy-damages-and-recovery.html

http://law2.umkc.edu/faculty/projects/ftrials/conlaw/rightofprivacy.html

Copyright protection is about protecting the owner's rights to intellectual property that the owner created or purchased the rights to, and the property is often is in full view or hearing range of the public. Nothing anonymous here. If someone makes money off of the display or playback of such property, copyright law is intended to ensure that the owner/creator is the recipient, and not an unauthorized third party, and provides an avenue for recovery of losses when copyright is violated. Usually they are related to the extent of the violation, and how much money was made by the accused and lost by the victim.

You may have trouble with that logic in a court of law. Depending on how state or local law is written, the owner may not need to post a sign. In most cases, ignorance is not an excuse. Private property generally carries implied rights, even if not explicitly stated. Where there is a doubt as to ownership of property (public or private) signage is often mandated. But, if you live in a "settled" area such as a town, city, etc., private property is implicitly just that, "private". Get caught violating those private property rights, and you may face arrest, or worse (depending on the mood of the owner).

Adage: Don't go trespassing in beehives, lest the bees remind you of your sin.

Not disputing or arguing against protecting yourself on your own property. We have similar laws in Michigan. And the person defending themselves is the determiner of the threat level.

The law is clear as to threats. However, mere trespass, and taking lethal action without a personal threat, will get a manslaughter, even murder charge. The law is also clear here. In fact, a man in the next suburb felt threatened by a drunk woman, pounding on his door at around 3AM. He opened the door, determined that she was a threat because she continued to pound on the storm door; he shot her dead; he was convicted of 2nd Degree murder. And just a few months ago, a man in Detroit shot through a closed entry door, wounding two uniformed police officers, and he got a misdemeanor conviction for assault. Go figure.