I have learned much in the last day. Your prediction that the damper filters were clogged is apt to be the most correct. As you know, I was working on replacing the capping station. This was not easy. You have about 1/32" to work with to drop the old and replace with the new. This took hours of fiddling. There was no trick except for removing a seemingly unrelated machine bolt that was protruding in the path of the capping station on the way in and out. There is also a grease cover over a roller bar that needs to removed to open up a path. Then the mist box needs to be removed to clear the path. Of course, the bottom plate has to be removed.
The new capping station is installed. Reassembly went well, no left over parts; everything accounted for. Upon powering the P600 there were no errors. I ran a few head cleaning cleaning and there were perfect nozzle checks for the achromatic channels. The color channels were nearly dead. My waste counters were in the 90% plus status. I bought a reset key, reset the counters, and ran an ink charge. To my dismay, the ink charge did not restore the color channels. Thus, the capping station does not appear to have been a main problem. Nonetheless, I am glad that I replaced it. I think Epson recommends replacing it every few years. Mine old capping station was original.
Out of frustration, I gently cleaned the print head for a second time. VLM and LC came to life for perfect nozzle pattern but then went South after a head cleaning cycle.
I am relatively confident that I now know what happened. The P600 had been working perfectly on a near daily basis for 4 years. I let the PK line suck air. Ultimately I performed an ink charge and everything but the achromatic channels went dead. Ironically, PK came back with perfect nozzle checks. I reported earlier that the dampers all allowed about 0.25 ml of fluid to be drawn into a syringe. They behaved the same for channels that were working and channels that were not working. Today, after the manual head cleaning showed promise, those promises were dashed by a head cleaning cycle. I shifted my attention back to the ink delivery assembly.
Yellow and Vivid Magenta have not showed signs of life since I installed the "new" ink delivery system. The "new" ink delivery assembly was charged by the seller. I don't why the seller would have even bothered to charge the system, they were doing DTG conversions on what I believed to be new P600s. I bought the assembly for 40 bucks and it sat on the shelf for four years. Once again, I shifted my attention to the dampers. I removed the Y/LC damper and immediately saw the likely problem for Y. Big chunks of solidified yellow pigment were in the chamber.
You mentioned that the dampers are one-way, but you can manually gate the valve by holding the membrane in while flowing fluid. I filled the chamber with Piezoflush and let it set for an hour. I was able to clean out the chamber and restore flow. The same for LC.
I have a brand new OEM delivery assembly that I have not installed. I am stubbornly trying to make the currently installed assembly work because I would like to keep the new assembly for a spare. And also because I don't want to mess around, again, with cable routing etc. I hit a snag, however, that will require me to further experiment on an old damper assembly. The VM damper is totally blocked. The VM damper as you may know, is tied in with the PK/MK damper and switch. It seems that I may need to dissemble the damper assembly to get at the VM damper. I have the original damper assembly to play with. But, for now, I am out of time. My day job and sleep beckon. I suspect that, before this is over, I will be installing the new ink delivery system (includes the damper assembly). Chinese vendors are selling isolated damper assemblies for the R3000/P600. I noticed that the Epson service manual advises to never remove the the ink tube ribbon connectors due to inevitable leakage. Nonetheless, there are YouTube videos showing disconnecting and reconnecting the ribbon tubing. Maybe Epson overstated.
What do I think happened? I think that the ink charge applied to a 9 year old ink delivery system dislodged pigment fragments in the lines that, in turn, clogged the dampers; except for the achromatic colors. There must be something about the achromatic pigments that makes them less likely to from a sediment. I should mention, my P600 has only seen one set of Epson cartridges and that was in 2016. The saga continues.