Um … no.
Actually, the whole folding pockets into each other is pretty similar to the way Margie and I used to do it, which rarely if ever produced a “100% perfectly folded fitted sheet,” let alone one that looked like it just came out of the package. And, to be honest, I’m not all that interested in whether my fitted sheets “look great in your linen cupboard,” since houseguests rarely see same.
The way we do it — and damned if I can remember where we found this, but it works like a champ — is to pick the sheet up by the pointy corners in the stitching where the fitting comes to a point. Do it with the “inside out” of the corners.
It’s that simple. You now have four corners, which can be easily folded as though it were a regular sheet. It won’t look like it just came out of the package, but who cares? It will have relatively straight rectangular edges, and look similar to your regular sheets, and go in the linen cupboard without a hitch. Huzzah.
(via Tricks of the Trade)