Hi,
The voltage drop in a good earth cable is so low, halving it by addding one in parallel will make no difference to the available voltage.
If you halve the the voltage to the starter you do not double the current. You would have to double the current to get the same power, but that is a design issue. Supply half the rated voltage will reduce the current draw. It will not be half the rated current, it's not that simple. Reducing the voltage to a DC motor reduces it speed, the current depends on the torque. Assuming the mechanical load is high the current will hardly change with reduced voltage but the speed will drop significantly so the supplied power is less.
Anyhow that is well off topic, the OP has a fairly new battery and a jump lead removed the symptoms so I'm ver confident that a new cable will fix the problem. If you wanted to tell for sure which it was you would have to record the current, battery voltage and the voltage drop across the battery ground lead. I have the kit to do that but very few owners and most garages dont.
Robert G8RPI.