I don't think anyone necessarily expects that less money = more options, but I don't think people realize how many options you lose as you get poorer. The way that people talk about poverty, people seem to think that being poor is needing to tighten your belt and be more frugal and creative, maybe not getting an iPhone, maybe downsize your house.
The reality of the situation is a bit less glamorous than that, where you can't actually find standard housing at all because of lack of credit and consistent income, resulting in needing to stay at motels for the long-haul (for example). This higher proportional cost puts a pretty severe strain on your cash-flow, maybe meaning that you have to optimize for getting money NOW, instead of two weeks from now. Being unable to get to a bank regularly means you either have to carry cash on-hand (which makes you a target) or you have to use check cashing services and other value storage methods (which provide poor return).
Being poor isn't just like cutting costs and expenses, it's in fact an entirely different game from making ends meet for most middle-class people.