What I fail to understand in many of these arguments regarding income inequality, is why inequality matters? Personally, I think the argument shouldn't be focu

What I fail to understand in many of these arguments regarding income inequality, is why inequality matters? Personally, I think the argument shouldn't be focused on how much the top 1% have, but rather on how well (or currently not well) the bottom 20% are living. If everybody has effective health care, abundant availability of healthy food, access to knowledge and the ability to be a productive member of society who doesn't have to work more than 40 hours a week in order to struggle to survive, who cares if the top guy earns 10000x more. Do we need to demonize the top 1% in order to motivate us to help the bottom 20-50%?