A dog that attacks or kills poultry or livestock in the countryside is a liability. That you would decry decent folk as "psychopaths" for putting down such an animal is not warranted.
But everyone here acting as if it’s 1925 and your only option is shooting $1,000 hunting dog in the head “down in the gravel pit” is your only option for a dog, while you’re living on a $2 million ranch, is postering.