To me, those kinds of scriptures are oriented toward not oppressing or exploiting the poor, and making sure that they are treated fairly in legal matters and so on. The rich can afford better lawyers, bribes, etc., and the poor warrant protection from being rolled over by them. I don’t see it as redistributive charity.
I think it’s both. The first scripture I listed has “justice” listed separately in the first verse. And considering the cause of the poor and needy after that.
So what is the cause of the poor and needy, if it is separate than justice? I think it’s basic necessities and perhaps opportunity to move up. Certainly not redistributive with a goal of equality, nor turning a blind eye to special circumstances. A respect for Sanctity of life requires a certain amount of care for those less fortunate. I believe that first verse places responsibility squarely with the King, while not absolving individuals or the church from their equally valid mandate.