There are an awful lot of places horses can go that pickups and SUVs can't. Motor vehicles aren't useful because their smell keeps the hounds from finding scent, and they can't go up steep inclines, across streams, and over fences and stone walls like horses, foxes, and hounds do. We foxhunters are modernized to the extent of communicating with walkie-talkies in a big country and calling the ambulance with our cell phones, though!
For example: Afghanistan..
Besides, foxhunting w/o horses would just not be foxhunting.
Carry on.