@SmokedDuck
I think this is a rather romanticised vision of hunting.
Which bit? I'd say it's pretty straightforward - even the most managed of hunts happen on land that is far more biodiverse than a golf course. And that's only certain types of hunting anyway.
What I find is often very romanticised is how people imagine the lives of wild animals. As if many are living nice quiet lives to near the end of their lifespan and then die quietly in their sleep. That is so far from the reality - if people just thought clearly about how wild animals die it would create some necessary perspective.
The bits where you say that hunting areas are kept 'entirely natural'. That's a contradiction in terms.
Also the bit where you say hunters and involved in conservation. Well, sure, but does that actually lead to good conservation? Sometimes it does and I know this quite well - but it can also be a cynical bit of tokenism, IME. It's very rare hunters have to think about conservation. The economics of it dictate against that, at least in the UK. A lot of people who enjoy hunting/shooting are (relatively) wealthy and depend on others to maintain the land; they may want, or claim they want, to maintain the land in an eco-friendly way, but as soon as that is contracted out, it becomes much harder to manage. It is not at all unusual for a landowner to claim they are desperately eco, all the while the people who are actually paid a salary, quietly put out traps and put down poison because they're not paid to be eco. They're paid to make a good habitat for a nice shoot.
The basic problem is that being genuinely eco-friendly can be expensive.
I take your point that some people romanticise the 'natural' deaths of wild animals. But IMO, there is a huge difference between recognising that a wild animal will often die in pain, and contributing to that pain for the sake of sport. I have no issue with anyone shooting wild animals; I am well aware that there are far more painful and frightening ways to die, and often, wild animals do die in painful and frightening and lingering ways. But, IMO, that does not excuse humans who have no need to cause suffering, doing so for pleasure. If you cannot shoot, and you have no idea what you are doing with a gun, practising on live birds is just plain wrong. Yes, a fox might break a pheasant's wing, or a big hawk might puncture its back and leave it to die a slow death from infection, and that's awful. But the fox doesn't know and the hawk doesn't know. We do. So we should only allow people who have a decent chance of killing an animal cleanly, to do it.