He stalked his prey and killed it. That's hunting. Then law enforcement tracked him and trapped him. Also hunting! But none of the rich family has done any hunting (yet). So far they are the hunted.
I'm not. Hunting people in a safe democratic society isn't "romantic", it's not "The Most Dangerous Game" or anything else. Your analogy is absolutely accurate. Harvesting an oyster would be another. Still totally hunting (or maybe just gathering).
> the rest of their lives
Only if any of their adversaries survive with sufficient will to fight.