We do this method for our children's charity quilts at guild. The turning (birthing) process itself causes the layers to shift, and we must be careful to pat everything in place afterwards. They are not easy to machine quilt, but some people do ok with it. We tie a lot of them.
The positive aspect of this is the shorter time it takes to make a quilt this way. If you are going to cut off the edges and put a binding on it anyway, why not just layer it the normal way and save the stitching around and turning?
Dayle