Wolves were mostly removed because of the damage they did to agricultural interests, preying on sheep and cattle. The wolves didn’t know they were supposed to stay inside park boundaries. The wolf-elk balance has been well studied and it is true, the over abundance of elk damages the ecology, destroying turf, muddying river waters and harming riparian vegetation. while the predator niche left by the wolves is filled with coyotes, mainly, which is maybe even a greater nuisance.
Wolves hunting elk are easily replaced by humans hunting elk.