Most of my quilts are wall quilts and I have been experimenting with double layering and wool. I think the small quilts (under 30" x 30" or so) do well enough with just one layer of wool. I never heard that about the direction of the wool and stretching. I did not like cotton and wool. I did it on one of my larger quilts and I almost couldn't get it quilted. It didn't behave well in the quilting process and it was heavy. I did finish it finally, but decided not to try that again. After talking with several people, I tried one layer of the thinnest polyester I could find and one layer of wool. That was wonderful. It was light enough to handle, it behaved during quilting, and it hangs straight and flat. I used it on my quilt that just won a ribbon in MQX.
I quilt on my domestic machine. Perhaps those who use cotton and wool quilt on a longarm or have found a different cotton batting. Anyway, I like poly and wool.