Interest rate targeting uses an unemployment buffer to keep wages and therefore prices under control. Poverty for those in work is entirely part of the plan. To fix the poverty problem you need to fix the structural viewpoint and return to the Beveridge condition - everybody must have an alternative living wage job offer available to them so that job competition works properly in favour of people. There must always be more jobs available than people that want them, not slightly fewer.
But that then runs into what Kalecki called "The Political Aspects of Full Employment" - a recommended read if you haven't already: https://mronline.org/2010/05/22/political-aspects-of-full-em...
Truly a 'wicked problem' - tied up with the concept of power
The example I've come across was of musical chairs. If there are 3 seats and 10 people, no matter what, some people will be out of luck.
I find it strange reading all the "get an education" or "don't have babies out of wedlock" attacks. If everyone in the country got PhDs, we still have the same level of poverty. If everyone married and then had babies, we'd still have the same level of poverty.
Lets say every american went to medical school and become doctors. You know what we'd have? A lot of doctors in poverty. If everyone became a software developer like me, we'd have hordes of poor developers.
The dominant economic system ( quasi mercantilistic capitalism with some social protections ) today pretty much guarantees poverty for a portion of the population. It's structurally systematic. The system is designed for income inequality and no matter what, we will have few extraordinary wealthy and lots of people in poverty. This is the dominant trend with a few blips ( the burgeoning of the middle class post ww2 US, but that was an anomally ).