Well.... perhaps something in-between!
My system didn't quite have the sound pressure impact that yours did (air horns... wow!), nor would I ever resort to that "shock treatment" method (creative, though).
I have however, witnessed the value of an audible system firsthand. In my case, the building was single-occupant (me), located within earshot of a nearby trailer park. Unfortunately, the isolation of the place led to it being a somewhat inviting target.
The alarm system had to be armed manually, and there was no chance it could go off in the middle of a business day. Only the managers and I had keys, and the switching positively disarmed the system.
I made the choice because on average, it took 15 to 30 minutes to get a response from the gendarmes. I lived a half-hour away.
On the day in question, the bad guys took the door off the side of the building. In the quiet and relative darkness, it was probably the safest side of the building to "work".
I got the call from the 911 center at about 3 in the morning. When I got there, the deputies showed how the burglar had taken about two steps into the building before all Hell broke loose and pretty much put an end to his efforts. The footprints on the freshly-mopped floor told the whole story!
It doesn't take ear-splitting noise to make the point. The shock value of an appropriate system can be pretty effective, as can the risk that someone nearby might wake up (as happened in this case).
The door was easily replaced (and reinforced). There was no damage to anything else. If I had only a silent system, I have no doubt the outcome could have been much more expensive, whether they caught the guy or not.
Just my humble opinion