Actually the naivety is yours. I'm shocked that you would need to have this explained to you:
Although we can apply your logic to individuals, we cannot apply it to a larger group; unless we are saying that this larger group has unique and harmful characteristics that are different from the general population.
I'm left with the impression that you may need to brush up on your knowledge of statistics. I really don't have time to attempt to explain the finer details. (Or maybe I've just misunderstood what you are trying to say.)
It may be possible to prove that some individuals are lazy; for example choosing to watch TV instead of studying, and that therefore their outcomes are their own fault. But if one applies the same logic to a large group, then one is saying that the whole group is intrinsically lazier than other groups. If this group is a particular race, then one is guilty of being racist.
Now maybe this type of racism is justified. Maybe some races are lazier than others. I don't believe it for one second, mainly because I don't actually believe that there are different races, but that's probably another discussion.
I never said (pretend or otherwise) that there was no correlation between such things, you are putting words in my mouth. I said that it was irrelevant, I never said there wasn't any correlation.
What I am saying is that any correlation is not causal, and therefore irrelevant. A group might be poorly educated AND watch too much TV because of a common cause beyond their control. But their watching too much TV isn't the cause of their poor education. Correlation doesn't equal causation. You pretty much said the same thing with your grocery-store/fast-food example.
One way of getting closer to equal outcomes may well be to ensure that all schools are properly funded. But that doesn't necessarily mean taking money from wealthy people. But I wouldn't automatically be against such an idea even if it did take money away from wealthy people.
It can be achieved very simply; any government controlling a fiat currency can decide to grant adequate funding to all public schools. It really is that simple. The only reason that this doesn't happen is because most recent governments have been populist ones, with no clue of what leadership is.