I very much know what a poverty trap is, but what does it have to do with the debate of whether or not you can eat healthily for cheaper than instant noodles without needing unusual skill or much free time?No one really doubts that it's possible to survive for almost nothing. After all, people do that all the time around the most dire parts of the world. The issue is that it's survival, not living. You are trading most of your time, effort and energy in order to make it work, which means you have very little left to throw at actually trying to improve your situation. After all, even if you work several dead-end gigs, that likely won't allow you to save up any reasonable amount of money - what you do manage to save will be wiped out anytime an unexpected, necessary expense comes along and we all know they always do. In order to climb out you need to build up competences, which requires studying and learning skills. That means throwing time and money at it that you're already using to survive.
Also, eating healthier is one of the steps to take in order to get out of poverty: better food intake equals less time, money and energy spent on health problems. Won’t save you in and of itself, but it’s an important part, alongside having correct sleep.