Elvato, I haven't installed any bi-xenon kits myself. All of the kits I have done are the single filament ones. None of the kits I have seen have the relay harness included with them unless the person specifically asked for a relay harness. When I say relay harness, I am not talking about something that would control the hi/low portion of the HID bulb, what I am talking about is a relay that would power the ballast itself. We may be taking about different relays here. The relay I am talking about would allow most of the current to bypass the headlight switch and go directly from the battery to the ballast (using the headlight switch as only the control signal which is a very low current thing).
Yea, I gotcha
The "module" come with a positive cable (to hook to positive side of battery), a negative cable (ground for ballasts), a bulb input (used as trigger to turn on headlight and activating solenoid), and bulb outputs (+ and - for ballast, and a power wire for the solenoid). In essence, a relay with a tap for the high beam solenoid. There were also ground wires for each bulb, probably for the solenoids.
I guess they figured they might as well include the relay to be able to power the ballast when switching from low to high since the lows turn off when the high beams are activated, and vice versa. Looking at it, though it's a bit wider than a relay, and it's wrapped in a rubbery plastic. The one I put in (VVME) had a red glitter sprayed on the wrapping.
Yea, all the single kits I've seen were relay-less, unless you paid extra for a harness. I used to run relay-less with a Retrosolutions kit, but I'd have start up problems. I was told a relay kit would fix the issue, so I ordered it (silly me paying for that). Not only did it not fully fix the issue, but the relay failed months later. Not sure what brand it was (said "HID" in white letters).
Either way, got rid of that, and went with VVMEs and a Bosch relay. They're a lot cheaper and I haven't had start up problem ever since.