U32 is a 74ls08, and consist of AND gates. You have to have high inputs at the 1 and 2 to have a high output at 3. However, I don't think U32 would keep the test rom from running.
You are correct, if that IRQ signal you posted came off of pin 4 of U24, that doesn't look right. I'd check the 1k SR upstream of it for cracks. It should be holding the signal high.
I asked about the voltages because of the speaker on your work bench. It won't work unless you are providing +12v and -12v as well +5v. The logic seciton of the sound chip should still work they way you have it setup. At this point, I would pull the roms off the board completely, and then check the data and address lines. Without the game roms installed, the CPU should start executing it's non operative instructions looking for a program to run, and all the data and address lines will strobe. If you don't see any activity at the CPU, then the processor may be bad. You can also check the data line and address lines for shorts that cause one of them to hang low. If the CPU, data lines and address lines all check out, then I would go looking at the chips that control the chip select (from memory, I think they are 139s).