I'm getting them all the time. It's funny how the product that was described in the video as "designed to help keep the display clean" actually makes the screen worse.
I do love my SmartCover but I wish it didn't leave these marks.
Seems like its all covers, both leather and polyurethane. The streaks appear in the same spaces where the cover isnt touching the screen when closed. There's 3 lines on the inside of the cover and thats where the lines appear on the screen.
Seriously considering returning the cover. I didn't spend $40 to have the same issues I'd have without a cover.
Probably some part to cheap Chinese manufacturing process bleeding through. You may have paid $40 or $70 plus tax for it, but I read it only cost Apple about $11 dollars to make, ship, distribute.
I just want to add how easy it is to clean the screen with the Smart Cover.
At the end where you lift it to wake the iPad 2, just slide it across the screen with a little pressure (be gentle) and it will clean the streaks and finger prints. It may take a few swipes but it does a pretty good job.