I distrust toots that assert something without providing a link
I was lucky and found a link to the 31K figure; sounds partially like it does NOT apply to all homeless people, just some small percentage, so probably a bullshit number
https://homelessvoice.org/the-cost-to-criminalize-homelessness/
Also, they quote $10k for “supportive housing” and show a picture of San Francisco. I guarantee that’s not accurate. The state needs to pay to house these people, but we need to be realistic about the cost.
Housing in places like SF is expensive because of private landlords jacking up proces to the moon. If the government owns the property and gets to control the cost then it’s really not any more expensive than housing them anywhere else. Better still it puts those people within the range of public services like transit so they can actually work on getting themselves into a better situation.