People struggling to pay the bills usually don't have the option to "just move to a lower cost of living area", because moving costs money and they also don't have the funds to cover the time it takes to find a new job (presumably paying more relative to the cost of living? how?) in the new location.
Yes they do. Especially now with the worker shortages, you can get a job anywhere. You can get by in many areas by working at mcdonalds, and people who can't figure this out don't deserve my tax dollars.