I have to wonder if his battery has a shorted cell? Does he have a hydrometer? That would certainly cause a sustained stubborn low voltage, and as the battery heats up it could draw plenty of current in a kind of avalanche mode as it heated further and further. Could substantially low electrolyte levels exposing the tops of the plates do this as well? What do you think; do those make sense to you as a possibilty?
Then too, if he didn't install the sense jumpers, there's no telling how the power supply regulation circuit would react. A remote sensing power supply is in many ways a servo system; a small signal change can create large brute force changes, and swing them around in real time...
I'm still favoring his "playing" with the current limit trimpot... it does go down to 40% from what I could read.
BTW, I did get that document to open; I had to launch a separate acrobat reader. For some reason my browser doesn't want to have anything to do with it.
The voltage and current "TTL" inputs appear to me to be linear! That means that you'd have infinite resolution, simply by applying plain old DC voltages between 0 and 5.5 volts. That's pretty darn cool.
It would prevent the need to go interfering with the voltage regulator servo circuit by replacing the trim pot, and potentially having it go into open loop gain or oscillation if something went wrong with your replacement pot, wiring, or voltage source.
Any little cheap 5 volt variable regulator would work for this; you'd just want to install an industrial pot like yours in place of the original trim pot, so you'd have numerous trouble-free adjustment cycles at your disposal.
I have to admit, were I to buy a Meanwell, that sounds like a pretty attractive option!