I think this is a really bad idea unless paired with some regime that penalizes inappropiate use of alarms - and most societies don't treat noise pollution as a real problem. For example, people honk all the time even when there are no safety issues. Or have misconfigured home/car alarms. Outlawing using ANC for blocking "fake alarms" only makes the problem worse.
No honk in Switzerland, some honk in Romania, all honk in India. There's no one rule to rule them all.
> some regime that penalizes inappropiate use of alarms
Legally, use of horns in traffic is restricted, and abuse can be punished. Doesn’t keep people from honking all the time.