Believing that someone shouldn't receive direct help from the government isn't the same thing as believing that they shouldn't receive help. This is a false dilemma.

As, perhaps, a kind of silly example, a couple of weeks ago, my car wasn't working, I was immobile. I didn't and don't believe that the government should've helped me get my car working. But I did believe that I should be helped. I called a couple of my friends and now my car is working again.