I don't like reductive economics logic over what is a humane response, but I do like that it may not only be nicer, but actually financially sensible.
Since society is taking up the bulk of the work in helping you re-enter, you have to make some compromises, and potentially moving to a new place seems like a reasonable one to make. If we want a robust and strong social safety net, we cannot commit to providing all these services in the most expensive place to do so.