I don't think you have a moire pattern. To see one, go to the first response I get when I google "moire effect," which is
[Link: mathematik.com]A moire pattern almost always seems to go in different directions, depending on where you are looking.
The first moire pattern you ever saw, probably, was looking through two window screens, or through a screen and a screen door. Anything where there is a pattern to two things, and the patterns are almost exactly the same. Where the patterns overlap exactly, as say in the individual wires of the screen door, there will be a thin line; where the wire from one screen is seen between two wires of the other screen, it will appear that a single wire, three times as thick as the regular ones, is there. This variation of apparent thickness is what causes the pattern in the case of a couple of window screens.
On TV, the individual lines of the picture can mix strangely with the lines of whatever is being photographed so that strange patterns occur. When you see a man's patterned shirt swirling and moving, and especially changing appearance and even color when zooming in or out, this is classic moire -- the interference of two similar patterns.
You see patterns in the screen holes? Is that what you are saying? That is entirely possible. I would guess that lots of light shining on the holes would make the holes less visible unless you are sitting too close to the screen. Have you asked Stewart Customer Service about this? They are very helpful.