Especially considering that most UK humanities doctorates (not sure about science ones) are entirely research-based.
Yes, UK science doctorates are 100% research - when I was an undergraduate exchange student (in physics) in the US a few years ago, I was very surprised to discover that the PhD students there actually had to take classes!!
In fact, in order to even hold non-university employment, I'm required to get approval from the fellowship office at my university!
I assume that's because the majority of British doctorate students are being paid to do their research/write their dissertation and so are already considered to be working full-time and being paid for it. One of my friends has just started his PhD and, because he is being paid in Euros via a foreign research council, the exchange rate means that he is currently earning £20,000 a year just for doing his research... that's a good few thousand pounds more than my current full-time retail job pays, yet I have to pay council tax and he doesn't!
To be considered full time your university would have to clearly state that you are doing 21 hours minimum per week, this could be as work placement or classroom based study. It cannot include private study time.
According to the various university and government websites I have just looked through, PhD students are exempt from paying council tax for the three-year duration of the degree even though they don't take any classes. However, if they are in the writing-up stage of their PhD and have gone over into a fourth (usually unfunded) year, they will have to pay council tax, as they are no longer part of the 3-year full-time PhD course.