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Natural Resource compliance student here. (Its a form of enviro-sci and prerequisite for conservation enforcement)
Anywho.
Both sides have logic behind this, yes predator populations are low to human interaction. But, they also need to be controlled to protect the prey population, livestock, and even property.
In Alberta, the most secure and stable natural areas are those with frequent hunting of both types, predator and prey. The national parks and protected areas actually have pretty unstable populations. Reason being number one is, unfortunately pretty racist, asian tourists. They bait wolves and bears to come closer to their vehicles and the highway. The feed them and such until the predators associate roadways with food, and humans as friends. This ends up with a lot of roadkill and the prey population exploding, because the predators are being killed off and predators frequent highways much more than deer.
In fact herds of elk are now big enough that they can barely be predated upon.
In areas where everything fears humans, the population is much more stable.
Hunting helps a fuck ton in resource management