If you go to 3rd world places where resources are scarce the aristocracy is totally fine and the people suffer. I don't get what's different when there is no government.
Nobody is arguing that bad governments do not exist. Hell, I would argue that good governments have rarely existed throughout history. The argument is that theoretically, government can deal with issues that anarchy cannot. This stance is even taken by one of the closest friends of anarchy: Robert Nozick.
The problem with anarchy is that anarchy necessitates that those with material resources will wield all the power. Yes, they have the power to be altruistic, but it is still them that will always wield all the power. Under certain forms of government, power can be evenly distributed and does not rely on material resources. That is, one who is absolutely impoverished still holds the power to vote in and, thus, influence the government. This cannot happen in anarchy.
Further, since many (this does not mean a majority) living under a government structure will want those voting to be decently educated so they are not swayed so easily, they will work to distribute resources in order to provide for such an education (and, this will necessarily also entail certain subsistence allotments, since one is is starving cannot be educated).
On the flip-side, anarchy will push the powerful to retain their own material resources, since material resources is power in such a setup. This will mean less for those already without. In many places around the world lacking adequate government structure, child labor abounds (and has throughout history in such places). Yet, child labor creates a cycle in which those without power become even worse off. Child labor drives wages down for both children and adults. Thus, it forces even more families to enroll their children in the labor force, and that deprives such children of education. This means their future will be spent toiling away and sending their children into the labor force. Moreover, since the goods they are producing tend, in such a system, to be luxury items (by this I mean merely not life necessities) for the powerful, the price of the necessities they need does not drop at the same precipitous rate as their own wages. It's a vicious cycle. And, I would argue, it is a cycle that only government can break, since it ultimately reduces to a severe collective action problem in which their is no reason for a single laboring family to deviate and not throw their child into the labor force, and their is not reason for the wealthy to independently deviate and not purchase products produced by child labor.
Now, one could argue that education can solve this problem and individuals, especially those in power, will come to be more altruistic through education. But, first that seems like a pipe-dream. Second, it would require compulsory education of a certain kind, correct? How will such a compulsory education that speaks against the norms and mores of the powerful be instituted without some type of governance structure?