As Shutterfinger says. That is a typical artifact when you get moisture between the glass cover and the polycarbonate screen, which has the fresnel side up against the glass. If some moisture gets on the glass, or If you wipe the screen with a liquid cleaner, as soon as the liquid touched the metal frame, it wicks under the glass, and runs along the fresnel groves, creating that pattern. If the liquid can evaporate, the pattern disappears, but if the liquid does not (ie: oil or other contamination), then it sticks around.
And as you discovered, you can dismantle and clean the screen, it's just very easy to scratch the polycarbonate part when you do that.
As a side note, the glass cover was so you could use a grease pen on the screen during a studio session - but you needed to use a dry wipe to remove the marks, or you get the above.