Oh, and I've taken the whole shebang over to utterly oversized demo needles - so things should be clearer visible now. The "regular" towards-the-right row is knit in blue, the return row in red. As you can see, the blue stitches are all twisted (left leg crosses over right), while the red stitches all are untwisted.
[caption id="attachment_2043" align="alignnone" width="300"]
Remember the observation that the stitches lie differently from the first post in the series?
[caption id="attachment_2042" align="alignnone" width="300"]
The instructions result in a different alignment of the stitches, so that the stitches of the return row (which is worked onto the left needle) are sitting with the right leg in the back. Consequently, when working only the return row, all stitches will be untwisted, resulting in the correct fabric. When working the two rows alternatingly, the towards-the-right row (blue) stitches are twisted and the return row (red) stitches aren't.
There are two possibilities to deal with this. As you are slipping stitches a lot anyways, you could just slip the two stitches individually on the towards-the-right row, re-aligning the first one (the one on the right) so that the left leg is in front.
[caption id="attachment_2041" align="alignnone" width="300"]
Or you wrap the yarn around the needle the opposite way when knitting the towards-the-right row.
[caption id="attachment_2040" align="alignnone" width="300"]
Both options will work, and you will end up with the fabric as intended: each stitch going through two other stitches instead of just through one, as modern knitting does as a rule, and with no twisted stitches. It will still involve a lot of slipping, however, even if you work in the round.
So, to return to one of the earlier questions... is there a less slippery, possibly more efficient way to do this? Stay tuned to find out more!