Tom,
You asked what I find similar about Ross's courses. Well, based on the photos in his book, and given that you made a point above of mentioning natural green sites, I will start by mentioning push up greens. I see that he used that style quite a bit it seems. I have no problem with that style. It was the style of the day and it was very functional. Push up greens create drainage automatically. But I do not find push up greens to be natural. They tend to be slightly more natural than tees, which are almost always the most unnatural aspects of any golf course. Push up greens are a contrivance. And Ross used them a lot judging from the photos in his book. Everything in golf is a contrivance to some degree or another, by the way, in my opinion.
By the way, just as another curious parallel to Fazio, I noticed that Ross sometimes mentioned the usefulness of "framing" in his book. In fact, if you look on page 94 of his book, you will see a photo of some very unnatural, Ross describes them as "Artificial", hummocks framing, to use his word, the second green at Brae Burn CC.