No it should not. If you have ever had a loved one suffering in an area that requires services provided by API or suffering from other things like addiction - you know first hand that there all almost no options for them if they don't have A LOT of money at their disposal. This will make it worse.
Now... if you haven't had a loved one suffering as mentioned above - and simply don't care about these people and think it's an issue of money - you'll really enjoy having them all over your streets and neighborhoods I'm sure - because most of them will be cut lose if they can't pay.
My opinion - save money elsewhere... Cut corporate welfare, drug test people getting assistance... but people in desperate need of help and who are potentially dangerous to others will slip through the cracks even more if made subject to a for profit API.