Potential technique, based on you not caring about the chip, only on the data in it.
Use the exerciser routine to dump the contents of the ram to the screen. Video the screen, make sure it is readable, save video in a safe place, and forget about it.
If you ever need to, find another ram or ram equivalent, and only then load the caldata. "Ram equivalent" could be anything, e.g. an MCU with onboard seldom, or even a prom.