This was written by "a senior fellow with the Texas Public Policy Foundation", which is a conservative think tank known for its strong denial of climate change. It's only actual "evidence" for housing first being harmful is a single study focused exclusively on physical health outcomes and insinuating that housing first is the cause of increased homelessness purely because homelessness has increased in places that kind of use it(as well as everywhere else in the US).
growing economic inequality exacerbated by a global pandemic, soaring housing costs, and housing supply shortfalls. It is further exacerbated by inequitable access to health care, including mental health and/or substance use disorder treatment; discrimination and exclusion of people of color, LGBTQI+ people, people with disabilities and older adults; as well as the consequences of mass incarceration.”
is "outrageous" because most homeless people face mental health issues and addiction. All the things the Biden administration listed clearly cause/exacerbate addiction/mental health issues. The economic issues clearly make affording a home harder. And a lot of homeless people pick up addictions and mental illnesses
after ending up on the street
TL;DR this article is poorly written garbage that's arguments fall apart under small to moderate scrutiny
Here's a report on housing first that cites studies and evidence for all of its claims instead relying on bad logic and blind assertions. 
