Firstly, there's a difference between failing to take an action, such as not offering a homeless person a couch, and actively taking an action, such as kicking someone out of their home.

Secondly, as discussed, the "individuals don't turn people away, corporations do" dynamic really does apply to doctors. If you were, say, on an airplane with a doctor sitting next to you, and you managed to cut yourself or burn yourself or something, I would bet they would render aid.

Basically you're equating turning someone away, and withdrawing something that someone has, with failing to actively seek out people who could need help. But I don't think those are morally equivalent. Maybe you're a utilitarian and that's fine, but I'm a virtue ethicist and I do not agree that equality of outcome means equality of morality.