Of course, but the services he needs will be more likely to be in place thanks to the increased tax revenue as the jobs market picks up.
It sounds like you're taking about a homeless person with a debilitating mental health issue, but there are many unemployed who have employable skills that would benefit from this news. The homeless people with these mental issues will never be employable regardless of the economy, so I think you need to figure out what you're trying to argue here.