Surely council tax correspondence is addressed to the residents...especially as the amount payable is related to both the number of people living in the property, and their income ?
The basis of council tax is residential property and communications will be solely for the 'liable person' not individual residents.
Usually, the person living in a property will be the liable person, but sometimes it will be the owner of the property who will be liable to pay.

The council tax rate is based on 2 or more adults living in a household with a discount for folks living on their own.
Couples living together are 'jointly and severally liable', even if there is only one name on the bill.