4 pin ECU doesn't work. Old 5 pin does.

Depends on the year and perhaps engine, which the OP didn't bother to mention. For anyone that needs to rewire anyway, I suggest dropping the Mopar ECU and ballast and changing to a GM 8-pin HEI module & coil (85-95 V-8 trucks). Simpler wiring, hotter spark, and more reliable. TrailBeast here sells as a kit for those who fear junkyards. While in there, smart to add a relay off BATT+ so you don't rely on the bulkhead connector resistance, and insure you ground the module well - not a rusty sheet-metal screw, applies to Mopar ECU also.
Since you didn't bother to read my question and everyone else seems to have figured it out, I'll help you. I'll go slow, I know weed is free in Cali. The question is about MOPAR electronic ignition.
This is an A body forum. Last A bodies (US) were made in 1976, right? Not talking trucks, F bodies or GM vehicles. Mopar electronic ignition was fully implemented in 1973, right? And we're not rewiring anything, as I stated in my first post, factory electronic ignition. No lean burn or funky emissions ****. Coil, ecu, ballast, distributor. Easy.
You are correct, the ECU does need a good ground.
All good-natured ribbing aside, what I was really hoping for is someone that had this experience, would say "yeah that happened to me" try this!