No, I think everything is oriented the right way.
Thinking about it, its k2 p1, which means the inside is probably very smooth, on the outside, those knits are purls, so the it would look, "ribbier" if thats the word. Just matching that with the pictures of the mittens in the patterns, it looked to me like it should have been the other way around.
The marsan watchcap hat I did a while back had a "turning row" where the cuff was turned halfway so that it could be folded up. Maybe I would want to do that with these mitts, or turn it at the very end so that the side I like is on the inside.
Its just that the watchcap way of turning the row always left a big gap where the row was turned. The instructions were the followng:
"Purl the last stitch on the round, bring yarn to the back of the work, slip one stitch from the left needle to the right one, bring yarn to the front of the work, slip the stitch back to the left needle."
I guess that slipped stitch was what causes the hole.
Don't know if there's a better way to turn the cuff without any slipping of stitches so I have the side I like facing me once its knit. Don't feel like starting over a 4th time