If only life were so clear cut.
Sadly the reality isn't that poor = low use and rich = high use. The more you're at home, the more likely you are to have big energy bills. The more people that are at home, the more likely you are to have big energy bills.
Also, tiered pricing would have to be mandatory to work. If it's optional, why would a household with high energy use join the tariff?
Dress it up whatever way you like, the concept is still the same. I get that there's a romantic notion of ensuring people who are wasteful subsidise those who are frugal. There's probably a mental image in there of some middle-aged couple chilling in a hot tub. But the reality is that said couple would simply turn the tub off, or install their own generation and/or a battery. The bulk of those who would be paying more are families, pensioners, the disabled. All so that someone who lives alone and works long hours (but not from home) can have a nice subsidy on their bill.
Sorry, but the idea is trash.