Check the damper and see if it is blue-gray.
If it is check the line(s) as well to see how far back it goes.
Yes, really sounds like cross-contaimination.
And that is usually related to swelling of the cap pad and uneven ink amounts in the cartridges. So, that effectively a full cart will wick through the pad and push ink into a cartridge with less ink.
You can connect a syringe to that one side and pull a little ink through and that should clear it up, but this is probably all about the cap pad touching the head and uneven ink levels in the two cartridges.