It is amusing that in the example of replacing "Prior to the implementation of the financial enhancement.” by “Before we fixed our money problems.” the bad Latin words are replaced by other Latin words. ("fixed", "money", "problem" all have Latin roots.) Even the list of Anglo-Saxon words has a decidedly non-Anglo-Saxon word ("chair", via French from Latin).

What matters is not the origin of a word, but its modern usage. When you consider alternative ways to express a concept, use the words that a. convey the intended meaning with the necessary precision (Clarity), b. are commonly used (Simplicity) and c. result in short sentences (Brevity).

So I agree with the principles the author recommends, but I disagree with the examples. I find all three principles broken throughout the text, and although that might have been deliberate, it certainly doesn't feel like it.