Dithered drawpixels in display lists?

When you call drawPixels when compiling a display list and dithering is enabled, is the image stored within the display list dithered or does dithering only happen when the display list is called?

Dithering should only occur when pixles are written to the screen. It is reasonable for an implementation to pre-dither, if it knows that the reault would always be identical to dithering on write, but I would expect that to be a rare case that would not typically be attempted.