yes, it does all matter. the wiring to the brake coil has the gnd return running through the entire brake/horn circuit, the brake sensors are normally open.most brake circuits are normally closed. it uses the natural resistance of the bulbs and horn/headlight to provide the HT coil with the 8? ohms resistance needed to have the coil fire right.
to hardwire you have to rewire the whole tail and replace the brake sensors