this method works. The only reason why I cross the wire over is because When I do have the highs working, only one High would work.
This wiring will keep the Lows on when Highs are on. this is OEM style. But the only downside do this trick is when you Flash the highs, the low would flash too. pretty obvious from the wiring. the kouki uses a different wiring layout, it has a double switch. You can compair it in the FSM. There was actually a thread on this a few months back. If you want it truely like Kouki, you need to swap over the relay they use and wire it up like it should be.
edit: even though you do get the Kouki relay unit, it still wouldn't work. I think the actual headlight switch is built different. I even took mine apart and couldn't figure out the correct contact for this. the design on the zenki is to power both high and low on. Being that high is also on the low side.
You should do the aftermarket relay method above. It shouldn't be too hard. Just locate the oem headlight relay and pin out the wires and go from there.