Ok, so I got that wrong. But a tax on which everyone pays the same can't be said to be unfair.
It absolutely can. Consider the flat rate as a percentage of income, for example. Those earning the least are paying the highest percentage of their income.
It's also true that poorer families tend to have more people living under the same roof (on account of being poor). So four cohabiting adults in Council housing would pay four times the amount that some elderly spinster in a multi-million pound house would pay.
Generally no matter the value of the property in which you live, you as a person still get the same provision of services from your local government. With the community charge the idea is that each adult paid the same amount for the same level of service provision. With the rates based system someone living in £100 000 house pays less than someone living in a £250 000 house. So the person living in the more expensive house pays more, yet recieves no extra service provision. Now you can argue that this is redistibution of wealth.
I call it asking more of those who can give more and asking less of those who can't give as much.