Just a guess, the 5th plug might connect to the gateway to pick up the CAN bus. If that's all its doing you can splice into the CAN, you don't need the plugs (unless you want to remove it at some point then its just that bit easier to do)
If you translate the text from the PDF you posted…
“It is important that you have installed the correct comfort control unit (STG46). You can code the rear spoiler in every STG, but it doesn't work for everyone. My experience is that it works with the STG 46 with CQ in the end.”