All of what you said is why poverty is usally seen as a relative value — it is relative to the perceived average of the wealth of the society you live in.
A society that continuosly sustains high degrees of poverty under that definition, usually needs a narrative for why the poor people deserve to be poor and why the rich people deserve to be rich. Centuries ago (depending on the place) this might have been still been religion: you have been born into a poor life and those in the lead have been born as leaders and there is nothing you can/ought to do about it.
Today individualism takes that function: you are responsible for beeing poor, even if you have been born into it. But you can become a billionaire if you want — it is just very hard. This means also those who are billionaires must have worked very very hard and so deserve their wealth.
Rich people usually inherit their wealth tho, which makes a fool of the whole narrative and suggests who profits from it.
Beeing poor means to struggle to make ends meet every day and despite optimization efforts fail to do exactly that every now and then. You can have a hundred times the absolute wealth of someone in a different society and still be poorer than them in that you struggle for survival, while they do okay for the society thwy are in.