In stock form, the power circuit routes through the ignition switch AND the handlebar mounted light switch in series.
The Triumph fix removed the ignition switch from the path but the power circuit still goes through the light switch. The ignition switch circuit activates the relay.
The EB kit uses two relays because it is downstream of both the ignition switch AND the light switch. It is the wires from the light switch that activates the appropriate relay of the two.
Thus, while the Triumph fix is a vast improvement, the EB kit ends up with a brighter light.