I researched and published an article on deep stops for decompression dives. I had a lot of help from renowned decompression expert Dr. Simon MItchell. When I was done, I wanted to write an article on deep stops for recreational dives, but Dr. Mitchell would not help me with it. He said there is not enough research to know one way or the other what to do. I then spent a lot of time researching on my own, and I finally concluded that there was not enough research one way or the other to know what to do.As I read through the forums and research articles, however, I come to the conclusion that using conservative gradient factors with multiple stops instead of the popular 3 minute safety stop at 5m (15ft) is a good idea for minimizing risk.
I am familiar with the research you cite, and you should know that it is not highly regarded. The DAN America's article that originally wrote about it now has a disclaimer saying it does not represent current thinking.
What does have a lot of research behind it is the standard slow ascent--it has been investigated for more than a century. Then safety stops were added, and that made things better. The level of safety associated with slow ascents and safety stops is well-studied, and it is proven to be a very safe procedure.
If you read my article, you will see that deep stops in decompression diving used to be very popular, but more recent research has shown that they are actually harmful because of the added pressure to mid-range tissues. Perhaps a through research study on deep stops in recreational diving may show that it creates the same problem. Perhaps. Perhaps not. As I said before, the only studies that have been done are flawed, so there is no good evidence. to show either a benefit or a harm.