Don't get discouraged, you are most likely correct that it is just more gunk coming through the system. That said, I'd get the whole system drained and cleaned as much as possible. Injectors, as the man says, are NOT rocket science, but those holes in them are really tiny, and so even a little blockage can create havoc of the type you describe.
I flew a brand new Cessna 185 once, and that airplane would foul an injector every 20 hours or so. We'd pull the fuel screens and they'd be full of a white fibrous material, like tiny threads, and some of those would get through the screen and foul an injector. I got pretty good at landing out, pulling the cowling and figuring out which cylinder's injector was fouled, pulling that injector and cleaning it, all whilst bobbing around in some lake or other. This went on for some 200 hours or so. We checked the fuel tanks (wet wings) and couldn't find anything....grrrrr. Brand new airplane.
Much later, I talked to a guy who built those airplanes for Cessna, and told him the story. He told me the white fibrous material was likely from one of the rags that they use to smooth out and apply the tank sealant. His guess was that one or more of those rags was left in a tank, covered by the black goo they call the sealant, so it was virtually invisible inside the wing, and the thing was gradually breaking down and going through the fuel system.
After a couple hundred hours, it all stopped, so it was apparently all gone.
MTV