Was he bit by a radioactive lion, like in the trailer? "Just a really good hunter" sounds way more compelling.
Yes his main comics background is big game hunter out for the next real challenge to hunt. But, always just peak human strength etc. Trailer has a kind of Punisher man on a mission vibe. Kraven is more likely to fight a lion almost naked with a bone knife for the challenge.
I don't mind them juicing him up on screen to get a more realistic challenge if he is going to be fighting Venom, or Rhino, or Spider Man. It makes sense to have him on more equal footing on a cinematic setting. But, trying to make him sympathetic or a wanna be do gooder who just happens to shred the enemies stabbing them in the face, going a bit farther than a "hero"....that is iffy.