Sounds like a tricky one, it's tough that the problem duplicated and didn't follow like you had hoped. But yeah, at the end of the day, the codes mean what they mean from the PCM's perspective. In this case, if the wiring, connector and injector are indeed good, then my next guess would be an internal PCM circuit issue.
Another thought...not sure if it has merit or not. The connector for injector #6 could be damaged and caused a second circuit fault in the PCM when you plugged it into #5. I would not think this is very likely or common that this happens, but perhaps it is possible if the wires were fused.
P.S. If #4 is also not firing, but not giving any codes, something very odd is going one and I start leaning more towards the PCM.