More housing supply doesn’t house people who have no people to pay for those houses. It’s a wealth inequality issue we just don’t want to face.
Take mental illness. A mentally ill person with more resources can get the care they need, but someone who is poor can soon find themselves on the street. And homelessness itself is quite stressful, and can produce or exacerbate mental illness as well as drive people to drug addiction.
Homeless people are just like the rest of us, with their own basic human needs, and just like everybody else are trying to navigate their world as best they can.
That's just because it's not true. Aspen, Hamptons, Martha's Vineyard and other places with the peak wealth inequality do not see more homelessness (or any homelessness worth mentioning). Liberal cities are the epicenters of homelessness because they all follow the same policies of enablement.
https://journals.sagepub.com/doi/10.1177/0002716220981864
What’s the homeless rate in the luxury enclaves you mention? I couldnt find reliable numbers. Note that your claimed statistics for such enclaves could still be true but not discount the overall statistical relationship - such enclaves can have their own housing dynamics (such as small populations and vacation homes) which don’t negate the larger trend we see when we examine many locales such as large cities and so on. So no, cherry picked counter examples don’t negate the larger statistical relationship between homelessness and inequality.
And attributing homelessness to “enablement policies” is another hot take. It’s just as plausible that enablement policies are enacted as a response to homelessness not a cause.
But at least now we seem to be beyond blaming homelessness on individual traits.
>Note that your claimed statistics for such enclaves could still be true but not discount the overall statistical relationship
If you know statistics then you might be familiar with the "correlation does not imply causation" turn of phrase. And yes, any counter example destroys a causation claim.