Here is an inside look at a Pulsetronic keypad. Unfortunately, S&G’s official position was that when the battery runs down, the customer needs to buy a new keypad. The battery is not field-serviceable. It’s made from two CR123A batteries in series, encased in heat-shrink plastic (twice), possibly spot-welded together, with solder tabs (also likely spot-welded) and wires that solder to the printed circuit board. No wonder they didn’t want anybody attempting a repair but it seems a poor design to have disallowed battery replacement (unlike the lock itself, which does seem to allow it).
Does anybody have any idea where else to get such a battery assembly?

This one has in fact been opened and repaired in the past.