This test that you did, "I swapped the trigger wires and the spark plug wires between 1-5 and 2-4. My intent was to have the switch box and coil packs for 1 & 2 firing 5 & 4, but at the right time. I then repeated the idle mixture screw test. The results were the same."
When you said results were the same, I infer adjusting the bottom carb idle mix screw had no effect on the engine rpm after the wire swap. And yet when you sprayed fuel mix into the same carb, there was no effect either. UNLESS, WHAT YOU ARE SAYING IS THAT ADJUSTING THE IDLE MIX SCREW ON #1 OR TOP CARB (AFTER THE WIRE SWAP) DID NOT HAVE ANY EFFECT ON THE ENGINE RPM, THEN YOU CAN HYPOTHESIZED THE PROBLEM TO BE IGNITION COMPONENTS ON #5.
Your swap test above tested the trigger wires and coils and CDI's on #5 to be working on #1, assuming my inference is correct that the bottom carb stayed the same. The fuel mix spray tested the carb to be working as it did not have any affect on engine rpm, indicating it is a firing and not fuel problem and yet, the previous test indicates all ignition components to be working.
The only components between these two tests are the reed valves assuming there is good compression on both cylinders, i.e. #4 and #5. I wonder if you have verified both.