UPDATE.
What a saga. The printer still refuses to print anything. I spoke to Epson tech support. They were adamant that they "don't support customers at the hardware level". Yet, he was able to answer a few questions which did not lead to any solution. I got better luck speaking the the local Fuji guy that fixes these machines. Until he sees the printer physically, he can only speculate. I took the head apart one more time just to make sure that it wasn't blocked mechanically, it is still let cleaning fluid pass through. All may not be lost. Still, the printer does not produce any image, the nozzle check pattern produces a clean and immaculate sheet -- impressive. I'm still not sure that the head is NOT completely blocked but I have now established that cleaning does not pass any fluid through the head. I tried putting in a brand new ink maintenance tank that I previously weighed at 248g. I figure, if ink actually travels through the head, it is going to show up in the ink maintenance tank. But, there was no difference before and after cleaning, the tank still weighed 248g. Which leaves a few possibilities open. Either ink is blocked in the Ink Selector Assembly (a definite possibility) or in the tubes (yet, none of them are showing bubles and are all full). Or, it is possible that the pump, on the cap assembly fails to create the required vaccum to pass ink through the head. I wish there was a simple diagnostic to check the pump? Or, as the Fuji tech suggested, it is possible that the mainboard is not sending signals to the system to fire ink? This machine is really complex, and without any kind of "model" of how it operates, it's hard to figure.
I was hoping that, perhaps, through an Ink Flush and initial ink charge, I would get ink flowing again in the head and salvage my printer but now that I know for sure, that no ink is pulled in the cap assembly, forget doing an Ink Flush. It won't do anything.
Just spoke to my friend at Fuji and he's not convinced that the head is still operational. According to the symptoms I describe, it's possible that the pump cap assembly would need to be changed. But it's possible the problem is the head. I am thinking that, perhaps, cleaning the head differently? With a solution like PiezoFlush? Worth trying. At this stage, the printer is getting closer to the door by the day... Will make sure to buy the Extended Warranty Program *if* I decide to give more of my hard-earned money to Mr. Epson again. I may go for the 3880, which is less exensive, but I so appreciate the convenience of roll fed.