Is it though? If you take out the toffs on horses having fun, it's just dog's chasing foxes. I mean yeah, we killed all the apex predators in the UK so foxes can basically wander around as they like with their main threat being early morning bin vans, but for most of the animal kingdom the threat of being killed by a bigger animal isn't a cruel and unusual happening, it's Tuesday.
To be honest, so is me eating a steak. If I wanted to, I could go throughout my whole life without an animal dying for my dinner. But they're tasty so I eat several cows a year and, given the absolute thrashing I give my nandos card, my chicken kill count is in the thousands per annum. They didn't need to die. They died for my enjoyment.
This is to say nothing of the fact that shooting foxes isn't illegal. In fact, you can ride around on a horse and murder as many foxes as you like, you just can't use dogs to do it. Instead, you - and farmers - are allowed to use guns which are far less discriminatory than dogs, who typically have rings run around them by healthy foxes and tend to end up killing the old, the sick or the weak (much like occurs in the wild, not coincidentally). You shoot a gun and you could hit a fit, young fox, probably not kill it and listen as it crawls off into a hole for an agonising death. Much better.
That said, I actually don't give a shit if it's legal or not, it's such a non issue, but that's sort of my point. IMO the arguments in favour of it being legal outweigh those of it being illegal, but the ferocity with which people hold their views is baffling to me. People have stronger views on fox hunting than Syria half the time.