In Cleveland, the older Jaguar ornament was quite popular in the hood. The only solution that worked was to have a removable one.
The problem with a 5-second horn is that such horns are going off constantly in the city and draw little attention. Their effectiveness in preventing vandalism and burglaries is probably minimal. One of the most common uses I have seen is for location one's own car in a parking lot. Also, consider that in fact, the horn may precipitate more damage in retaliation.
Consider a thief who wants a hood ornament and is using a prybar to get it. Once they get it, they will be gone and only the hood will be damaged. Now, blow the horn and see what else on the car gets damaged as the thief flees.
I am definitely not for lying done and letting criminals take over. But whatever measures are taken need to be effective at preventing damage to the car. The cost of a hood ornament is nothing compared to the cost of a hood, windshield, or roof. Thus, spring mounted, easily removed, and serialized ornaments (i.e., VIN numbers on them) might be the best deterrent.
Maybe a quarter-turn ornament or one held on by a solenoid should be considered. The solenoid approach could work like the electronic latch on a door etc. The driver would use his electronic key fob to release the ornament so it could be put in a safe place or taken with him.
John