I'd be really careful of the "how you feel about it" line if I were you.
On the contrary. That is the most important line. Because how you feel about killing an animal is what this is all about.
Hounds are not farm animals like cattle are, either. If you really do consider them no different from beasts bred for the food industry then sadly, yes, they are likely to be culled due to a drop in demand.
Hounds are totally like cattle. They are there for a reason. They are not pets. But because people have dogs as pets, they get a bit emotionally confused about hounds.
Rats are vermin in the most widely recognised sense the world over, a notorious public health risk. Yes this means there are companies such as Renokil in existence.
Because it suits humans to kill the rats.
Having been raised in the country and lived in urban centres I recognise foxes for what they are, and what they do, and they are not rats.
They pretty much are, in urban areas. Just bigger ones.