People dont disapear just because you decide you dont want to help.
So what will you do when sick people with nothing to lose start swamping every medical facility begging for treatment? When you’re really sick, you dont give a damn about laws or money.
Your only choice then will be to cage and/or kill these people for being sick and poor. It’s the inevitable outcome if you stop all assistance.
If you engage, they win. There's a whole lot more going on here than that, which you could see if you weren't engaged in "We're better than that!"
You're enabling destructive behavior. You're part of the problem. What I assume are good intentions on your part are making you blind.