Of course Black has faults, they're just not as obvious as Wolf's. I mean Black did some "dumb" things, but nothing he does compares to lifting two Aliens up by the neck and attempting to blast them at close range.
And it's been a while since I watched AVP:R, so I don't remember when or how the wounds occured, but I know they're the type that the Alien CAN heal. Whether he did or not in the alloted time is up to debate.
And just to add. Black may have killed more than that guy's list points out.