The schematic will definitely show it regardless of whether it's used because the socket is still on the board. The same way all the ROM sockets are shown but not all are used. The best you could hope for is a note on the schematic but I didn't see one
I still don't think it's a bad idea to throw one in there and see what happens. It's certainly possible that the DAC is necessary for the non-chime mode.
If I'm understanding the problem correctly everything worked fine on the chime setting but when you switched it the sound stopped working (low volume) even on the chime setting? If that's the case then I don't see a DAC solving the low volume issue but it's still possible that you may need one for the non-chime setting. I have a Fireball II in the garage. If I can get to it tonight I'll take a look at the sound board.