You're obviously more informed on the subject than I am, but speaking from ignorance, I really have a hard time seeing any of the FF saying it was the right of the poor to have support that drove things like almshouses versus a sense of the duty of all Christian (read "moral") individuals in a society to care for those in need. Government-managed almshouses and outside relief merely provided a framework for them to do so collectively and efficiently.
There's a nuance there.
You don't have a moral right to support, but as a decent person I have a moral duty to provide it. In the same way that I have a moral duty to care for any God's weaker, less able, creatures.
It's like grace, unearned and nondemandable by those who receive it.