the arcade connector goes in this order.
RED
GREEN
BLUE
GROUND
Sync
the brown is sometimes the blue, the ground is black and thw white is sync.
While I agree that you are probably right in this case, you really can't rely on wire colours.
I have a G07 (as pulled from the cab) on my bench right now where the individual wire colours bear no resemblance to "reality".
Also important to understand the difference between positive and negative, hori and vertical syncs and to know what your source expects (although likely negative composite in this case), so you don't waste time trying to sync different signals.
Not trying to be pedantic, just trying to be clear in case others read the thread and wonder why stuff didn't work for them.