You are failing to understand the distinction.
All rights and laws depend on governments and courts. That obligation is around interpretation and enforcement, not the provision of the right itself.
My right to free speech does require governments and courts only at the enforcement level. No other person ever has to do anything for me to have that right. In fact I don't have to do anything to have that right. I have it whether I exercise it or not.
The same is not true about housing or food. A court could decide that someone has a right to those things but it's still not going to happen until the resource exists to provide. Someone has to make those things. That's not just enforcement or interpretation. It's buying fertilizer, it's nailing boards together.
>One person's right is always another person's obligation
So no, this fails to hold up to simple scrutiny