Council Tax Bands Challenge

I have a neighbour (right next door) who is paying a lower banded Council Tax than me and I challenged unsuccessfully. I now know I wasted my time for one simple element. I purchased my house from people that had lived here for 30 years. The key point is that if your house has not been sold since around 1991 then no stats exist and therefore no challenge will ever work. My neighbour has a bigger house than me, with a loft conversion but has been sold 3 times since 1991 which means it has stats on previous prices and therefore remains in the lower band. It would be interesting to know if any others have experienced the same as it is so unfair to pay more council tax than a neighbour who has a bigger property than you.