The stock setup on a TT has the resistor box on the B+ side of the injector. Changing it to the - side does change the electrical resistance of the circuit. Will it work? Yes, but it will shorten the life of the injectors. Ever notice the silver stock TT resistor box does not have 6 signal wires going in and 6 coming out for a total of 12 wires? That is because it is not on the negative signal wire. It is on the B+ power side. One power in, 6 resistor shunted powers out to the injectors.
Here is a picture from stealth316, the 3S turbo setup is on the far left, NA is in the middle.
Putting a resistor on the - signal side will not provide the same low imp to the injector coil.
The car will run, but the injector (if low imp) will fail sooner and is not working 100% correctly)
-Chris