Earlier quoted context omitted.
It's probably worse for poor people, that already deal with the extra cognitive load on every other pricing... But it's also probably best for poor people, that will optimize their usage and get better deals out of it.
Poor people don't use/waste electricity in large volumes because they are poor and don't have money to waste. Rich people can waste enormous amounts of electricity and not be financially affected. It benefits rich people to schedule running the two clothes washers and two clothes driers at off-peak rates. Poor people don't have energy fat like this to cut.
Yes, poor people have less usage to move around in absolute values, but they have more relatively to their income.