Yes, It will make a difference.
I'm going to try it in my car(battery in the front and rear) and my friends car (front battery only) his dims badly!
However dimming lights under load and voltage drops on the system power and ground wires are different.
If you have dimming lights, that doesn't usually mean that you have a voltage drop on the amps electrical supply.
It means you're pulling more current and your Alternator can supply so your voltage dips from 13.5+ volts to 12.6(typical battery resting voltage) and below.
Voltage drop means that Voltage is lost to a poor connection or resistance in the system.
Running a ground wire from your front to back battery will help the ground side carry more current with less resistance, but the improvement depends on how inadequate the ground was before.