Nick, it's not ink starvation per se, it's air leaking into the system and 'replacing' the ink in the ink path. I have had this problem previously with cart(s) that 'leaked' air into the 'fuel system'. I would do a simple clean or nozzle check and all looked OK--even print a small test print-also OK. However, when I re-reprinted my image, I saw that cantankerous cart misbehaving again. What is actually happening? For a small test print, after a clean, the 'fuel system' starts out 'mostly' refilled and the print is OK. But now when you re-print the big print, you're still OK, except for the air leaking into the fuel system while printing occurs. Once the leaked air replaces the ink in that 'fuel line' you will be in starvation mode--no or little ink will be further delivered from that cart(s). This are the 'horror' cycles I believe you are experiencing--until you find the entrance for the leaked air this problem will repeat.
Obviously, you will need to check the integrity of the 'fuel lines', the seal in the cart and even the surface region where the cart seals against the printhead assy. even if I'm dead wrong I dont know why Epson never brought this topic up.
I hope my comments will be of some aid-ring Epson's bell once again, wake them up, this not an unknown phenomenon!