Boiling everything down to power is too reductive.
People are poor because they're incapable of the value provision required to not be poor. This can come down to a number of causes: low intelligence (perhaps due to malnutrition as a child), discrimination, mental health issues, disabilities, geography, attitude, education, etc.
But it's scarcely a question of power. Centrally it's about capability to provide value to others who can reciprocate with money.
This is the premise of the EA proposal that you're missing. If I get a job as a software engineer, this in itself has value to society even if I don't wish to donate any of the money, since I'm being compensated for value provision to someone else (who is in turn being compensated for value provision). The EA on top is just a nice bonus.
Now, negative externalities are of course a real thing, and they need to be taxed so that payment for services is more correlated with true value provision to all stakeholders.