If you read that article it talks about how some of that money is spent on prevention so it's a bit unfair to just use existing homeless as the denominator- it's still an obscene amount of money per person. So saying it's "totally incorrect" is a bit of a stretch.

San Francisco absolutely has a Homeless industrial complex that isn't trying to solve the problem but just keep their cash flowing.

You’re linking to an article from mid 2018, before SF passed the largest tax in the city’s history: 2018 Prop C, a gross receipts tax for homeless services expected to raise another $300M. Several other additional tax measures were also passed since then to raise funds for homeless services.