It doesn't. "Entertaining" does not equate to skill.
City Hunter especially does not demonstrate skill so much as he demonstrates a brute force. Intentionally he's supposed to be a younger, feistier, "hungrier" predator.
I'll just say it again. Jungle Hunter, and moreso Greyback are absolutely the most skilled Predators we see. Greyback for the simple fact that he's an old dog and he's carrying many signs of his achievements on himself. He doesn't even need a mask anymore, he's got his laser tracker on his plasma caster.
Re: "he shot his targets from afar." I find that to be more a of a myth than the truth.
1. Hawkins was up close. Predator deliberately waited for him to be isolated.
2. Blaine is hard to gauge in general. The weapon he is hit with is only in that one scene and when Mac arrives the Predator is only a few feet from where Blaine fell.
Mac got it at close range, and was given an intentional hint by the Predator.
Dillon was killed up close with blades, and also given a pre-kill hint.
Billy was likely killed at close range.
Poncho was killed from a tree. Also, I think this was more about getting Poncho out of the way so he could have his fun with Dutch.
JH fought Dutch both at close and long range depending on the scene.