Don't some of those groups share common members?    For instance what percent of the chronic homeless  are also mentally ill, addicted, or all three?  
The Chronic Homeless seems the key value related to Lynn's comment.   The other groups may be more a subset of causes, or symptons  of homelessness.    

Thanks for showing the numbers.    It's great to have facts, but part of what the conversation is about is the level of compassion, concern for crime, sense of justice, even rational analysis that would drive using city resources to treat the homeless.   

 Too often we assume 'the city' mean city government, which is an error.    City goverment is a group of activist interested in the work.  That does't mean they reflect the attitude of the community.   With very low voting totals for city elections it's pretty hard to claim city governance is representitive of the entire community.   Same would be true if the city was run primarily by conservatives.