The Z6 III likely has a similar optical low-pass filter as the other models of the Z6 series which is reported as one axis only, so if there are high spatial frequencies on the other axis, these can cause moire or other forms of aliasing. Stopping down the lens to smaller apertures (such as f/11, f/16 etc. or using other means to soften the lens, such as a front filter) should eliminate the aliasing (including moire) if it does occur. The cause of this phenomenon is that the adjacent color filter array pixels can get different light (including different color of light), causing an interference pattern to form. Attenuating the high spatial frequencies optically should resolve the issue (and is the normal way to solve the issue). A thicker (two layers) optical low-pass filter on the sensor has the issue that the blurring is always there even though for some subjects (that are random enough not to cause problems) you might prefer the higher sharpness of the weaker, one-axis OLPF that the camera probably has at the moment.
In video, moire can (in some cameras) be caused by line-skipping, e.g., when going for a high frame rate mode, this is common with some cameras to achieve 4K120, but on the Z6III 4K120 is achieved by cropping to DX so there is no line-skipping and there should not be any additional aliasing or moire happening due to the use of that mode.