Wes,
Just out of curiousity, which do you consider "old hat" and which do you have no clue about?
Let me present my take on Shainin. The Shainin techniques and training are proprietary, so it is hard to find much on the web (unlike six sigma, where any consultant can certify new black belts). If you can find an old copy of "World Class Qualty" by Keki R. Bhote, it describes many of these techniques. And yes, many of them are "old hat".
The goal, as I understand it (I haven't been through the training), is to simplify calculations and present some standardized approaches to problem-solving so that you don't need an advanced degree in statistics or engineering to use the techniques.
Statistical calculations are replaced by simple comparisons.
* In B vs C, suppose you have some samples from your Current process and some samples from the (hopefully) Better process. Any statistician could calculate and interpret a t-test, but suppose you don't have a statistican (or suppose the results are simply a rank order, rather than actual values). B vs C testing provides some simple rules where all you have to do is rank the samples. I don't have the rules handy, but they go something like "if you test 3 C and 3 B, and 3 of the top 4 are C, then C is better." There are many variations depending on how many of each type you have to test. Just rank and check the chart with the rules.
* In precontrol, you simply divide the spec limits into three ranges - the middle half is "green", the upper quarter and lower quarter are "yellow" and anything outside the spec limits is "red". Forget all the "two out of three at least 2 sigma from the center" type rules for traditional control charts. All you do is draw 2 samples. One "red" or 2 "yellows" means you have a problem.
The statistical power will be reduced, but the point is that a floor worker can do the measurements, plot it on a chart, and immediately know what to do without any math.
Similarly, the DOE-type techniques (full factorial, component search, etc) tend to be straightforward to implement and to interpret. They may not be the best techniques if you are an expert, but they are usually easy to use.
Tim F