The use of a relay to isolate the vehicle circuit is based not only on the starting amperage spike, but also to prevent the line loss of the vehicle systems from impacting the ballast function. As well, the ballast's input voltage does not drop. Input voltage will match the charging system, so ~12v when the engine is off and ~13.5v when idling. Remember that voltage, amperage and wattage are all related and easily calculated based on one another.
On a factory Sierra with the HIR bulbs, the burning filament does not care what voltage is supplied to it. The electricity flows across and the resistance creates the heat and light intensity that is reflected off the bowl and out through the projector optics. When the engine is not running, the 12v is supplied from the battery at say 55w equates to roughly 4.5a of current draw, line loss notwithstanding.
HID ballasts are much more temperamental however. The harness comes into play mostly because of how vehicles operate based on the ignition. You insert your key and turn to on, which powers the electrical system. This sends 12v to the lights, firing the ballasts and igniting the bulbs. Then you turn the key further, starting the engine. The high amperage draw from the starter motor can momentarily lower overall system voltage under the threshold that the ballasts need to sustain the arc across the capsule and the HIDs go out. You then need to powercycle the HID system in order to get them to refire. The use of a relay kit ensures that power is maintained throughout vehicle operations, as the relay will remain latched through the starting process, keeping a constant power to the ballasts.
The second point is the influx at ignition. A 35w ballast at 12v will use just under 3 amps of current to maintain the arc. Ignition however requires substantially more. Between the two ballasts you can call for 20 or more amps depending on conditions and line loss, so using the factory electrical system isn't reccomended. The TRS 30a HD relay harness as perfect for the job.