Most people who eat meat, would hesitate to kill especially big animals themselves as long as they get their meat from slaughterhouses.
You can't possibly know that, and given that most of the world's population is not located in the Western world, many of whom are used to wringing their own chickens' necks or cutting the throats of their own goats, rather than just going to the supermarket, I think that's a very shaky statement for you to make.
We humans are disgusted at the sight and smell of blood, non-appetising.
Really, I know plenty of people who've never hunted or slaughtered their own meat but like a nice, juicy, bloody steak.
But in nature, the strong one has a chance to escape.
Animals still have a chance to escape when being hunted by humans with knifes, bows, or even handguns, rifles or shotguns/slug guns. I know plenty of hunters who'll come back from sitting in a tree stand for a couple of days and nothing to show for it tell me about the deer they "just missed", but they got away. Yes, we have a technological and cognitive advantage over the prey we are hunting, but so what? That doesn't mean we're not predators, nor does it make it wrong. Wolves hunt in packs with fairly sophisticated coordination and hunting tactics-- how is that fair for their prey? How is it fair for the bugs crows eat by fashioning rudimentary tools from twigs?
Lions are carnivores and ofcourse they dont think like humans, but really they are not hunting down other species to the point of extinction otherwise they will not survive. With human interference in nature, so many species have gone extinct (lions are endangered too)
When hunting for food, for the most part, species are not hunted to extinction anymore. Lions and tigers and such that are poached are typically not hunted primarily for their meat, and while there may be a few examples of endangered species still being hunted for food, this is the exception rather than the rule nowadays.