It's not a misconception because it happens on a large scale. Note I'm not arguing that it is all homeless or even a majority, but clearly increasing support for the homeless will draw homeless people there from other, less capable areas. Here is a discussion about a church in Amarillo that paid for 1200 one-way bus tickets to get homeless out of their city: https://old.reddit.com/r/Austin/comments/5a0pdi/homeless_get...