The EPROMs are likely the problem. The EPROMs haven't been programmed deep enough. It causes an issue in-game because the 5V power-supply from the solenoid driver board is usually around 5.2 volts while your bench power-supply is probably around 5.0 volts. That little voltage difference causes issues with borderline programmed cells in the EPROM returning wrong info resulting in the ROM test failing. So you need to write the EPROMs with a longer cycle.

They need to use the slowest programming algorithm (and enable double write if their programmer is a GQ-4X) for these old EPROMs. This issue has come up a few times over the past few years.