Basing a household's council tax on the value of a property seems to me to be a ridiculous system.
I can see the argument that those with large, valuable properties are likely (I know there will always be exceptions!)) to be wealthy and therefore able to pay more, and at least have the choice to downsize if they really want to reduce their CT bill.
However, things become much less obvious in the lower bands, and the 'choices' more limited or non-existent.
Just as an example, look at social housing.
Nowadays, you have to be both very poor (and very lucky) to get this, and if you do get it, you have little or no choice in the market value of the property you are allocated. Yet these properties are band rated in the same way as any other properties, and however poor the household, they have to find the money regardless (or a percentage of it if on certain benefits).
It seems crazy to me that people in these circumstances could find themselves having to pay, for example, a band C council tax bill!
I would be in favour of a local progressive tax based on income, applied to all adults living in an area - a local version of income tax.
HMRC already collect all the data that would be needed, so surely it would not be too difficult to put such a system in place?
To me, it seems a much fairer and more logical way of raising these taxes.
How the councils then spend them is another matter, of course!