You can think it's a fallacy all you want, but the fact remains that the poor have a larger hole to dig out of than you think they do. We can't save enough money because there isn't a way to save any of it living check to check(my family has a bit of a cushion, but it's not a lot). That's simply not how reality works in this universe. The poor generally have fewer options for food of any significant nutritional value, housing options are a joke, vehicles are often held together with duct tape and prayers, if they actually have a vehicle at all, wages, like I said, are draconian, and politicians generally don't care.