Based on what I saw Friday between my 7880 and 4900, the answer is it depends. I ran some tests Friday with the printer resolution file (and will post some of my observations about those tests on that thread), but I did discover something interesting regarding dither and super microweave ("SMW") when looking at the Column A output. First, on my 7880 and with matte black ink there was no horizontal banding even when printing at 1440 (printing Column A at 360 ppi at 360). On my 4900, I have horizontal banding when using matte black ink with the Column A test even when printing at 2880. I was very surprised and not overly pleased that I have the horizontal banding at the highest print setting when using matte black ink with the 4900.
With PK active in the 4900 and printing the Column A image at 360 ppi output at its native resolution, there is obvious banding at 1440 across all four ppi sections of Column A without SMW on and no banding on the 180 or 240 ppi sections with barely (or am I imagining them) perceptible horizontal banding on the 360 and 720 ppi sections when printed at either 1440 or 2880 with SMW on. The end result was when printing the Column A test on the 4900, its MK output did not match the 7880's output of the same input file outputted at either 1440 or 2880. However, when printing PK with the 4900, its output at either 1440 (SMW on) or 2880 virtually matched the 1440 output of the 7880 (I say virtually because there is a difference in shading of the 720 ppi section due, I think, to either dot gain of printing matte black, or printing at 1440 since the printer is not using the smallest droplet available at 1440 or because I don't think the 7880 has as small a droplet as the 4900 leading to the columns appearing closer together making the section appear darker gray).