This is a little complicated, but usually when people are referring to the Westphal type of HD they mean juvenile huntington's disease which is usually characterized by rigidity rather than chorea. However, there are also individuals with a late onset who have little or no chorea and experience the rigidity instead and these people are often said to have the Westphal variant as well.
In my non-expert opinion though, since it is now known that the CAG repeat numbers are very different in the two groups as are the number of neurons with intranuclear inclusions, it doesn't really make sense to categorize individuals with early and late onset as having the same 'variant' of HD even though some of the symptoms may be the same.