This sounds like a recipe for a severely scratched back and an inch thick layer of finger prints on the screen.
Mine was docked upright at my desk and also provided an opportunity for a wipe down with the microfiber cleaning cloth in my desk drawer. Perhaps OCD prevented me from maximizing use of the iPad. Oh well.
Well you'd hate mine - it regularly gets baby drool, dog drool, breast milk, spit up, you name it on the screen. Don't even get me started on fingerprints!
And yet it still works. And I bought it to use, not to stare at its pristine glass and aluminum. I can buy trinkets to look at for far less than that, made of much prettier materials. It's in a case, which makes it easier for me to hold and use but also happens to protect he back. I've never bothered to get a screen protector, yet after nearly a year of rough treatment not a single scratch or anything that can't be wiped off in a few seconds. This thing is built pretty tough so that it CAN go everywhere with you and not live on a dock.