I think that the conclusion that you draw from that study is sketchy. They're really only asking what people think of when they read the words "Do Not Track". I'd be more interested in knowing what people expect when then look at their particular browser setting and what it is they actually hope it will accomplish. This naivety seems to come through clearly in the results. The plurality thought it had nothing to do with their relationship with the site they were visiting at all.
The most frequent answer (33%) was that Do Not Track would affect their Internet history.
For example, one participant wrote, “It would stop my browser from tracking my browsing
history”
Regardless of how people interpret the words "Do", "Not" and "Track", I see a clear use case for requesting that activities not be used to track me between websites. It seems like that was what Do Not Track was designed to do.
However, I also see a clear use-case for when I would like to not be tracked at all. I'd advocate for a "Do Not Log Anything At All" header that would allow us to respect such a preference.
Really, I don't see good reason to jam one use case into something it so apparently wasn't designed for. We'd be making some bold and wasteful assumptions on behalf of our users.
-Aaron