From the photo it looks like knit one row purl one row (looks great for a new knitter, I know my gauge as a new knitter was nowhere near that even!)
but from the original description
If there is something taped to one needle so that you remember to keep it in your left hand always, and you do keep that needle in your left hand always -- but at the same time are knitting "from one needle to the other" -- and the result looks very much like stockinette stitch ...
Is it possible that you are knitting off the left needle "right handed" and knitting off the right needle "left handed" the next row? So that way the needle with the sticker on it always stays in the left hand?
If that is so it is possible you have "only been knitting" an not purling on alternate rows
If this is true, it actually sounds amazingly cool and I want to try it too!
However, this might not be a good way to continue learning because if you were to try to follow a pattern while knitting with this method I think you would have to reverse every other row in your head if you were to try following a written pattern (I guess like you do for translating a flat written pattern to knitting in the round?) which sounds more confusing than necessary while trying to learn stitches at the same time.
Still, I'm very impressed.