I don't disagree that we shouldn't allow people who are homeless to camp openly on city streets and generally be a public nuisance. I don't do either of those things, so I don't believe it is a given that being homeless must equate to such behavior.
Historically, the more desperately that governments try to control people, the more people find ways around it. This is the origin of Martial Arts. Governments denied the peasants access to weapons, so they learned to use their hands and feet and farming tools as lethal weapons. You couldn't reasonably deny them those things. They needed them in order to produce food for the nation.
I don't agree that imprisoning all homeless people merely for being poor is at all a humane solution. I also don't agree with general trends towards criminalizing behaviors in such a way as to be a kind of Jim Crow law for homeless people. You don't solve this problem by trying to get them to just leave your city and go elsewhere. All that does is shift it around. It doesn't get people off the street.
There is a tremendous housing crisis going on in the U.S. today. Evictions are at very high rates and young people are basically expected to live with roommates because there are almost no spaces suitable for a single, young person to live alone, like there once were. Returning to historical practices of making market rate housing available that single young people can afford on an entry level salary will not solve homelessness, but it will take some of the pressure off.
Homelessness occurs when someone has more problems than solutions. The more solutions we can make available, the more feasible it is for people to make their lives work, even if they have serious personal problems for which there are no ready solutions.
I was born with my medical condition. For many years, I was a full time wife and mom. This gave me a middle class role in society, even though I was actually too sick to hold down a paid position. At some point, I expect to return to a more conventional life. My condition is not curable, but that doesn't mean my life cannot be made to work. It did in the past. It will again in the future, at some point. As the number of problems I have shrinks and the number of solutions I have grows, at some point, it will cross some tipping point.
Let me stop here and thank you for being so generous for a decade of your life. I am sorry it has made you so very cynical. But I don't think your cynicism is actual evidence that more affordable housing cannot play a role in helping get this problem under control.
There is a very small percentage -- basically 0.03% of the population are chronically homeless -- that are unable or unwilling to meet their obligations. There will always be some Bartlebys with us, who when presented with their obligations as members of a community respond with "I prefer not to". I prefer not to live in the shelter because it's unpleasant. I prefer not to move to where housing is cheaper because this is my home. I prefer not to live in a supervised environment because I like being in control of my life. I prefer not to take this medication that will stop me from screaming because I don't like how tired it makes me feel. And with these Bartlebys the choices are prison, banishment, and forced compliance -- institutionalization. Because a society is not a collection of isolated individuals, it's a web of obligations that are, at heart, mandatory. Some people view this as a dystopian nightmare. They are naive. It is living in a rooted world. From the beginning of civilization if you did not meet the obligations placed on you, the society expelled you, whether by death or banishment. What I don't understand is why people who have no problem enforcing laws banning camping in national parks or forcing people to pay taxes under threat of jail are unwilling to ban camping on the street in a high density city. If you want a nature preserve or other area outside of society in which all the individuals who are unable to comply with our rules can do whatever they want, that's fine. But you will find that with enough people filling up that area, a government will form, a society will form, and you will be back in trouble if you start violating the new expectations placed on you in that new society.