1970 Duster Starter Wire Wiring - Does it Matter?

Look you have a shitload of threads on wiring problems and you don't have a factory setup. Without photos "it's only a guess."

So I have a couple. Don't you understand anything about how a Mopar starter works? I've actually attempted to explain this, and it seems to have gone nowhere

The "push on" terminal on the starter gets power from the STARTER RELAY which is fired by the IGNITION SWITCH to crank the engine

The STARTER RELAY has either 4 or 3 terminals depending on when it was made and whether it's an older stick shift. Four terminal relays have a "big stud" which is "battery." The "square" terminal goes to the starter solenoid. The two remaining "push on" terminals on the relay are the relay COIL. One terminal gets grounded through the clutch safety or neutral safety switch, the other connects to the "start" wire from the key

I have no idea how you (or the previous owner) has it wired

What you DESCRIBED sounds like the starter should be cranking at all times...........the solenoid being powered by the battery............and we know (I guess?) that is not happening?