you can't compare a terrier ,working it's quarry under ground... to a lurcher on a fox above, completely different animals..
I've seen plenty of decent single-handed dogs on the lamp,not want to entertain travelling a tube to draw what's in the stop end...
every dog, no matter it's size will have a natural hate of foxes....it's how you introduce them,and bring it out of them....you don't want a daft dog lol...you want a spiteful dog