There' also alternatives to fox hunting, such as bloodhounding, as per the pic I posted above. The bloodhounds do not chase foxes, unlike the hounds that are used by traditional hunts, so there is no chance of an accidental fox kill. Bloodhounds chase humans
Hunts employ a runner or two, who lay out the lines, in a pre arranged pattern (to keep landowner happy), with a 20 minute or so head start. The sight of the runners getting caught by the pack and licked nearly to death is brill

.
The hunters are in it for the social aspect, but mainly for the thrill of hedge jumping.
As for fox hunting, I believe the argument of the hunting protesters was never about the numbers of foxes that were killed by hunts.