Something else that came to my mind just now. In the 1970s and early 1980s, when I was living in Utica, Ill., the town had a siren that was used not only for general emergencies but also to summon the volunteer fire department for fires and accidents. (It also used to blow at noon every day; don't know if it still does.)
When I was growing up everyone in town understood the "code": two blows meant the accident/fire/ambluance call was in town; four blows meant the responders had to take the highway north out of town; six blows meant the emergency was south of town (accidents at a nearby state park usually prompted 6 blows); and 8 blows would mean a general emergency such as a flash flood or tornado. This code may have changed since then but that's how I remember it.
I lived there for the first 20 years of my life and the ONLY time I personally can recall the siren blowing 8 times was for a flash flood. Not once do I recall it ever going off for a tornado warning -- and believe me, I would have remembered it if it had, because as a kid I was absolutely paranoid about tornadoes! If there were other times that the siren went off for a tornado, they must have occurred either before I was born, or when I was too young to remember, or after I had grown up and moved away. Although there were tornado touchdowns in our county, as close as 10-15 miles away during the years I lived there, the siren never went off.
Since the village had a history of never setting off the tornado sirens unless it was absolutely necessary, when the sirens went off on 4/20/04 it made an immediate impression, including on my own parents. Everyone took cover right away, including the 8 people who unfortunately died (some of whom came from a nearby trailer park seeking what they thought to be sturdier shelter). Were it not for the collapse of the Milestone Tap, there would have been NO deaths or serious injuries from that tornado.
In any event, maybe some kind of code whereby sirens blow a certain number of times or with a particular tone that is reserved ONLY for the most dire situations might be helpful in getting people to take sirens more seriously.