Part of the problem is that there are now apparently laws in many areas prohibiting euthanizing a horse with a shot to the head. While it would be a good idea to have some regulations on this — like on the caliber of bullet and age of the person firing the shot — and public agencies making basic “how to” information freely available (i.e. exactly where on the head to place the shot).
And having collection of carcasses be a government job makes sense given the public health implications, though horse breeders should be required to provide some serious financial support to that operation. In the Northeast, the government is collecting colossal numbers of roadkill deer off the public roads. Not sure exactly what’s being done with the carcasses — most of them are in condition to be used even for pet food.
While it would be a good idea to have some regulations on this like on the caliber of bullet and age of the person firing the shot