I purchased these after trying to fit into a pair of the standard size Privateer. The fit of the standard privateer was almost perfect, especially in the heel cup. The only reason that I couldn't wear them was because they were too narrow in the forefoot.
I expect the HV version to be wider, but they were not. There was more volume, but not width. I could tell this via fit and I compared the insoles from this and the standard version. They were identical.