Earlier quoted context omitted.
This is true, and that's why you should advocate for charity - which is based on free will decision on controlling your own property and resources, just as all the interactions that make up modern world that you so thoroughly describe. The "human right" concept, however, is entirely different: it is referring to use of the mechanism that has monopoly on violence, the state, to redistribute these resources, by the use…
Using violence to collect taxes is monstrous but using violence to protect the property of rich people is right and just? In nature, a person cannot have infinite wealth. The idea that someone can have as much wealth as they want is a creation of the state and is enforced by violence.
In nature, most of children die in infancy, might makes right, murder rates are sky-high and starvation is a constant threat.
So, if anything, using "in nature" is working against your case, not for it.
> The idea that someone can have as much wealth as they want
Nobody can have as much as they "want" - but everybody should be able as much wealth as they have acquired through any kind of lawful exchange.