I disagree with this argument. Water access is a human right. There is an astounding amount of public water infrastructure and people operating this infrastructure. This is all publicly funded because we have agreed that no one should be without water. Why should housing be any different?
But if some human walks up to my front door and demands water, they have no inherent right that says I must provide it to them. As the commenter stated, that would impose upon me a force against my will, hence violating my rights of private property.
Let's take that example a step further: If someone could come to my house and demand water and I wad compelled to provide them with it, what would stop them from setting up a water bottling operation, of which I am funding?
And to your point, I would agree, but only insofar as the water that people are not being denied access to is not privately owned.
For example, you taking water out of the ocean, desalting it, and then consuming it is perfectly fine. Nobody owns the ocean. You haven't violated anyone's property rights. Me being forced to give you water that I have paid for would be a violation of my property rights, thus it would be deemed a positive right, and rights in the US are not positive.
This is the same for housing. Nobody should be denied the use of their private property as they see fit (zoning laws would be a consideration upon purchase). Thus, housing is a negative right in that nobody would stop anyone from setting up a tent or living nomadically on their own property. This already exists today!
The problem comes into play when people try to institute positive rights on housing which either force someone into an involuntary transaction through providing time/resources to build someone else a house or via forcing them to allow people to use their privately held land as a camping site.
Could more be done, of course! But the problem is that the government keeps requiring people to give them money so they can do the job, which leaves everyone else worse off since government never spends more efficiently than the private sector. I lose ~30% of my income immediately. Think what could be done with it if I were to allocate it instead of the government.
Not having property is not proper justification for violating the rights of others.
Edit: let me tack on that nobody benefits from impoverished citizens. They are a net drag as they need supporting either through charity or through social programs. It is in everyone's best interest to help end it, but of course you cannot violate the rights of others which means you cannot forcibly hold a mentally sick person against their will, for example. The problem with social programs is everyone shrugs off the duty because "the government is fixing it" while ignoring the whole of the moral hazard each and every new government program creates.