I agree with the majority of your statement, but I would personally shy away from a specific "Monitored by company" sign, because I try to avoid advertising my security procedures. "Oh, they use Y instead of X? Guess I'll need to bring that other device, instead." I suppose a home owner could be
really tricky, and just buy the sign for Y, but have a security system for X?
Oh! On a technical note, I was watching a TV show recently (Better Call Saul...?) where someone broke into a persons house undetected. When the home owner found the person and asked how they got in so easily, the person stated that they "Cut the phone line", and that was apparently all it took. Know if there's any truth to that?