If you aren't bitter, then why the ugly comments like saying "It's cute" that I have taken a class on homelessness and public policy? (That's a rhetorical question. Given your lack of apology, I am not expecting a meaningful answer to it. Consider it food for thought.)
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.