This is a wonderful sport, which often doesn't even involve a fox. It is also very democratic, in that you ride up, pass the Master an envelope (in your hat) containing your fee and you're in. If you don't have a horse, you can often rent one.
It preserves vast swaths of open country, which the Greens should love, and the whole gang might kill one fox, or no fox, after hours and hours of rugged exercise. Besides, hounds do the killing. Last I checked, they are animals, too.
What should make the Labourites and Greens very happy too, is that with some regularity, a member of the classes they profess to despise is maimed or killed. So where's the harm?