Foxes are killed quickly by hounds specially bred to kill by severing of their spinal cords. A lot more pleasant than dying of starvation when they are old and their teeth have fallen out and they can not hunt. A few years ago I heard some dreadful screaming. My husband told me it was an old fox, having its eyes pecked out by a magpie.
Why do people thunk there are old people's homes for wild animals? Or humane euthanasia? Fox hunting tends to kill old or slow foxes, the ones to whom the scenarios above are likely to occur. The extreme adrenalin does not go on for hours at a time, it is sporadic. Round us, the hunt is silent for some hours at times, because they have lost the scent.
I do not agree with digging them out, though, once they have gone to earth.
Chances are if you are buying a frozen turkey for Christmas you are guilty of condoning far more animal cruelty than anyone supporting hunting.