I think that is why I stopped watching the Cumberbatch version, at least in part. A huge part of it was how they did Irene Adler (totally agree with the award for her), but also Cumberbatch wasn't Holmes, even in an alternate view. In some ways, Elementary is closer to Brett's Holmes, which is strange because it is even a more radical departure from Doyle.
Cumberlatch isn't Holmes -- and Martin Freeman isn't Watson, which to me is almost as crucial. That's another thing I love about the series starring Jeremy Brett ... both David Burke and Edward Hardwicke, in their own (not so totally different) ways, "nailed" the Dr. Watson of the books.
The actual recording is the same, but -- listening to the two versions back to back just now -- I think the version on "Private Investigations" is mastered slightly differently. (For verification purposes, I've also listened to my own all-time favorite, "Brothers in Arms," back to back on both the original album and on "Private Investigations," and it's the same there -- especially the thunderstorm at the beginning of the song is more pronounced on "Private Investigations.")