The crisis management (in California referred to as 5150) is a revolving door that only 'helps' anyone by temporarily patching them up and letting them go back to whatever bad habits and environment got them there in the first place.
Better housing will help some. Better accessible care will help some. Better other things will help some.
But there is no fall through default option here being exercised if those options don't help those who aren't helped enough by those options they stop being a repeated danger to themselves or others. In theory it's possible to still get committed. It's almost impossible to actually get committed (as in persistently kept away from society in a controlled institution), and those places are so underfunded and terrible, the street might actually produce better outcomes for everyone.
'Crisis management' is about taking a crisis and not making it a crisis anymore.
But it's generally about a short term emergency intervention, not about long term control of a situation that is fundamentally unstable, unsound, and not 'resolvable' due to a persons own actions. There are people who cannot and will not do what is necessary to stay sane. There are not a lot of them. But they do exist.
We can reduce the overall size of the problem through housing reform. But it doesn't remove the need for some kind of not-a-humanitarian-disaster institutionalization in a non trivial number of cases