When I go into the Print dialogue in the Colormunki software and select my Epson SP7600, then select the Color Matching menu, the Colorsync and Epson Color Controls radio buttons are not greyed out and I can select either one. If I select Colorsync, a profile menu pops up below, so I assume I should select Epson Color Controls. Then select "Off (No Color Adjustment)" in the Color Settings menu of the Print Settings dialogue.
Yes correct (OFF) and that's odd this software doesn't follow the other X-rite product behavior like i1Profiler. Like Photoshop and Lightroom, they using a private API to set this for you. But if you can set it yourself, it *should
* work. But what I'd do is export out the targets as TIFFs if possible, open them in the Adobe Color Print Utility or an old copy of Photoshop CS4 or earlier to print them. I don't trust X-rite's handing of this based on what you report.