I just got Koito Bi-Beam LED form Toyota Fortuner so I will install it to Honda Jazz (Fit).
I don't think LED projectors would draw that much current to warrant a relay setup. Unless there's some weird electrical funkery going on.
I put (HID setup) a diode at the plug going high -> low so both circuits are energised when high beam is used. Wired high directly into projector shield and low going to trigger the relay.
At that time I just worry if I use high beam for long time(~5 mins), the diode will be fired up. But now I use diode as your reply and everything work fine.