Council tax bands however are unfair in my opinion. A single person in a mansion utilises less council services than a house share of 4 adults in a small property.
The supposed idea is that people should pay for the services that are provided (whether they will use them or not) according to their means - and this is crudely judged with reference to where they live. It is assumed that a single person in the position to be able to own/pay a mortgage for/pay rent for a mansion will be much better off than four adults who 'have to' share a small place between them.
In practice, it takes no account of groups such as the elderly, who bought a reasonably-priced family house several decades ago, are now widowed, children all grown up and left and whose house happens to have shot up in value because of crazy property inflation.
It's the same blunt approach as the idea that, the bigger your car (and therefore its emissions), the richer you are. Never mind that you might be very tall, have a big family, have personal/medical needs which require you to transport bulky equipment etc.
Similarly, there are people who deliberately choose to live in modest houses, maybe shared with several others, because they prefer to spend money on expensive holidays, clothes, lifestyles etc. Entirely their choice, but they get to pay less than they could probably afford, just because they don't prioritise a big house in their spending of what might be substantial means/earnings.