Seems lazy for the author of the article to fail to mention any hard numbers for the actual vacancy rate. Without that context it's hard to judge whether this is meaningless grandstanding by the city council or determined problem-solving.
The real problem with homelessness in LA is that the street camping isn't being rolled back now that the terms of the 2007 settlement with the ACLU have been fulfilled. Instead the slums are being normalized. Shelters aren't even full. It makes homelessness an increasing lifestyle choice at a time when unemployment is reaching multi-decade lows.
We need to put a permanent hard ban on street camping and work backwards from that to handle the humanitarian needs of the population.