Where did you source the manual from? It came with the package?
My guess is wiring the GNDs would be fine, and its a case of missed information.
Quite frankly, if I purchased a Tekken 3 board, I would have on concerns wiring it to my cabinet as is. Considering T1, T2 & TTT schematics are basically the same, don't she why T3 would be any different.
Audio wise, mine is actually wired from the pcb connectors, not the audio jacks.