So you know its definitely a wiring issue at this point because everthing else with the TPS has been replaced, whether it be EMI or RFI issues, or a solid ground or power issue, etc. What about your battery, is your battery in good condition? I'd be looking at the connector for the TPS and ECU and any connector in between there, checking every terminal to make sure its "snapped in" and can't retract into the connector when connected, most wire terminals snap into the connector from the back.
I'd also be checking my ground connection, and my plug wires and coil wires for anything lose or not grounded there. There also should be a solid ground to the engine block.
Does it vary when the engine is off too, or only when it is running?
One thing I have noticed over the years, is most modern coils have at least 4 wires. The high side and the low side of the coil. The low side comes from whatever is controlling the coil, two wires. And the high side is the high voltage spark side. One wire is the plug wire, and most modern coils have another high side ground wire that usually says to go directly to the cylinder head for that coil in multi coil setups, or the engine block if it's a single coil.
My point is, without this "4th" wire, the ground of the high side of the coil must get back to the cylinder head somehow to create the high side "loop". And I wonder if they are more susceptible to causing electrical interference because the loop is larger and not as direct as right back to the cylinder head style. In an HEI cap, its vital that wire connects to the engine, I usually go straight to the intake or block. But where is that wire in a traditional external canister coil? Is it a common ground and it travels back through the coil? I don't know the answer, but I need to find out. Anyway, I am getting ahead of myself because I don't even know if it still does it with the engine off. And it obviously works for others so the ground is somewhere.
I also read previously the TPS relearns the low side every key on with the Edelbrock, which has pros and cons, but could be normal?