Before replacing the screen, I thought: "Try it first with a paste"
So taped (which leaves no residue) frames the display. Then something Displex (about 0.5 cm --dünn) on the display and polished with light pressure and cotton. After 2 minutes, was not much to see.
After about 15 minutes of use (time to time), almost all scratches are actually etc. disappeared.
The display is clear again (but not as good as new :))
So I save the cost of a new diplay (ie I mean the clear plastic cap and not the screen)
My conclusion: product works, you just have to be patient (again: 1-2 Minten is not enough!). And of course, the product will not help in all cases (although my display was pretty tattered).