We have a history of well-intentioned reformers coming in and making everything much worse: the stolen generation, the NTER, laws against alcohol consumption that cause even more destructive patterns of behaviour, etc. I've known men and women who trained as police, and went off to the NT rosy-cheeked idealists. All came back either depressed or outright racist. It's a hard problem.
Abusive parents create abused children, who grow up to be abusive parents themselves; the same is true of poverty. Abuse and poverty are grinding cycles that are very hard to disrupt. How do you teach a boy who's never met his father about the importance of being there for his own sons and daughters? How do you talk about the cycle without blaming or objectivising the human beings trapped within?
But then, maybe Bill Leak was just plain old racist, and I read a pattern in the noise.
That's why flukus said "it's your own bias that makes you think it is". If you weren't biased you would just see people being criticized.
I'd say the people that think it's racist are the racist ones, all they see is the skin color. They'd think it was a funny joke (or at least be indifferent) about rednecks of the characters were white, but lost their shit when the person is black.
For context, the two biggest issues are alcoholism and especially remoteness. Imagine a poor black community in the US just after segregation ended and then imagine that they were 300Km from the nearest corner store (or maybe this is a problem in the US?). Our welfare system could probably eliminate a lot of the problems in a generation or two in cities but it doesn't make much difference in remote communities.
The earnest responses you've received are fairly representative of commonly expressed opinions in Australia. I don't believe it's the majority view, but certainly at large minority at least - including the Prime Minister it appears.
The further context is that cartoon was printed in The Australian, which is basically a Murdoch tabloid but masquerades as the paper of note in Australia. The cartoon in particular was drawn in response to a "Four Corners" (TV) report on the treatment/abuse of children at the Northern Territory's Don Dale detention centre, many of whom were Indigenous.