Please read my post. I did not say that machining is "insignificant". I stated that machining is one of more than 400 industry codes.
Well, if significance was not the point of the 1 out of 400 statistic you mentioned, then your actual point remains clouded. Especially when that statistic has nothing to do with the amount of machining in the overall scope of all manufacturing industries, due to a vast number of captured shops not identified by their claimed SIC code.
The belief in the normality fallacy widespead. Processes do not need to be normal for the use of Shewhart control charts. I strongly recommend Don Wheeler's excellent book on the topic: "Normality and the Process Behaviour Chart".
I have read Dr. Wheeler's books, as he has read mine. It is true he has identified that processes do not need to be normal for the use of Shewhart control charts. However, that is no more of a 'law" than the need for the charts to be normal. Not all non-normal charts can successfully use the Shewhart control charts. Fact is, if you look at one of the points for the claim that processes do not need to be normal to use Shewhart charts, you will find the review of Burr's 27 non-normal distributions. One of the distributions not covered by Burrs 27 non-normal distributions is the continuous uniform distribution. Too bad, it clearly shows that it does not play by the traditional Shewhart control chart rules. But, the X hi-lo/R Chart for that distribution does support Shewhart's premises for economic control, as illustrated throughout many postings in this forum, suitable for searching.
By the way, Dr. Wheeler's response to my book was "I have to admit that I have not directly addressed in my books the complex processes you have addressed."