I can see how one might feel 'just move' is a good argument, but really NO! In chinatowns all over the country, whenever low-income residents are being priced out, the argument is always 'you can just find another place to stay'. They've lived there for decades, if not more. That's where all the people they know are. They are poor but they do have a support system, that lives with them. When they move away, not only are they economically helpless, but also socially helpless.
To tell people to just 'move away' is very dense, IMHO. You might not feel the same way about places you live in, but some people feel VERY STRONGLY emotionally about where they live. Consider the fact that when there's natural disasters/flood/earthquake/radiation leaks, there's not insignificant percentage of people who would rather stay where they are and suffer the consequences rather than move away. Which is why evacuations often have to be FORCED! People would rather die than move away from their homes. You cannot just say 'they can just move away': the concerns are valid.