I used to run a drop in center. The people did not utilize the services. Many homeless r long term chronic homeless. You have to have a very specialized training to work with them. A lot of them see no reason to leave the streets. I know this is hard to believe but it is true unfortunately. Once they have fallen that far down they just do not see a way up and like all of us they adapt to that lifestyle. Many die in the streets.
I was homeless 3x in my life. I got up each time but it was my inner strength that put me back in the world. The resources did not help so I know the homeless have to want to get better. If they don't they just stay where they are. Cold nor not.