I don't think people necessarily discount poverty, but it is simply an obstacle like any other. The fact is that probably every person in America can cite at least 1 individual that "escaped" poverty through education, hard work, athleticism, talent, or blind luck illustrates the point. Everyone knows someone or knows the story of someone that has done it, not in the ancient past, not as some potential, but in the present and it happens often.
The facts are that there is no condition (other than laziness) that actually condemns any individual to some predestined path of poverty. While there are never guarantees, there is no condition that is too far gone to recover from - it may be harder for some than others, but the opportunity is always there.