A couple of thoughts on Bruce Barnbaum's methodology.
First, placing shadows on Zone IV and the highlights on Zone VIII, which is, I believe, what Barnbaum recommends, compresses the density range on the negative one Zone from Ansel Adams' recommendations. In other words, there is a one-zone smaller density range from important shadow to important highlight than the "original" Zone System.
This is similar to, but not quite the same as, an N-1 development scheme. The difference is that the shadows are placed higher on the film's characteristic curve since the speed point is determined in much the same way. Zone VIII densities will be the same for both systems, but the shadows placed on Zone IV will be much more luminous and detailed and, given that they are up off the toe of the film's curve, will have more separation. It's the mid-tones that will end up having slightly less separation in Barnbaum's method.
In practice, there is usually a lot of darker values in the metered shadow areas, which are rendered darker than Zone IV and give the print an anchor in the lower values. A print with Zone VI as the lowest density will look washed out.
The key word here is "important" shadows.
A similar method of getting the shadows up on to the straight-line portion of the curve is simply to give more exposure, effectively "overexposing" the negative (a typical trick of Tri-X users, since this film has such a long toe). This can retain the separation of 5 Zones between Zone III and Zone VIII (while Barnbaum's method yields only 4 Zones difference).
Films with long straight-line portions and short toes require less of this moving the shadow values up the curve to achieve the same separation.
The question of which system to use is really one of visualization. Many find the less-contrasty approach of Barnbaum to yield richer prints. Many who use the "classic" shadow placement of Zone III get much the same result by indicating N-1 developments for situations that Barnbaum might consider "Normal."
In the end, it is really about knowing what you are going to get when you trip the shutter.
FWIW, I place important shadows on both Zones III and IV depending on how much detail I want in them and how "luminous" or "snappy" I want the final print to be. And, since I use Tri-X a lot, I "overexpose" it to get the shadows up on the curve. This results in denser negatives than some have, I suppose, but they print just fine. I think I remember someone commenting, after seeing Bruce Barnbaum's negatives, that they were "bulletproof."
Best,
Doremus Scudder
www.DoremusScudder.com