I wish I could read Japanese, to better appreciate all the Japanese tatting books available now. If anyone can read the language, and I'm getting this wrong, please let me know.
After a careful study of the photos in Tatting Lace Accessories by Kou Nanami, I came to the conclusion there are no flipped stitches in this book. First I see direct tatted chains, and that's not too surprising, since that method seems to be growing in popularity. (That's the method where you hold the core thread taut and make wrapped, unflipped stitches to form the chain.) It was the rings that boggled my mind, as they too seem unflipped, a new-to-me type of mock ring.
She holds a loop of the core thread and wraps one stitch over both threads of the loop and then makes the rest of the ring wrapping into the loop. When done, close the ring by pulling on the core thread.
I made one tiny sample, and it works. I prefer regular tatting, but this could be a big break through for some one who wants to shuttle tat and has been unable to master the flip.
Of course, you could look at the diagrams and tat the patterns using whichever method you prefer. It is a very pretty little book and has some oya style flowers in it.