One other thing that Intensive management advocates won't tell you is even if prey species numbers go up, it's not necessarily because of predator control. It could be a natural swing because of a series of mild winters or the result of a natural event like a forest fire creating better habitat. 

And even if predator control worked and created way more animals, two things will probably happen. Number one is predator numbers will increase, because predator numbers trend the same as prey numbers. And any gain will only be temporary until habitat is damaged and a bad winter or two comes along and knocks the herd down. Then those extra animals will be a liability and cause damage to the habitat which will delay a recovery of the herd. Which of course intensive management buffs will blame on predators, not on their misguided vision of game management.