Bummer on the checksum and multiple bit errors. But a valiant effort!
Here's an idea. If the bits are marginal, it may be possible to vary Vcc to see if the MK36000 will read correctly. You could take it out of circuit so nothing else gets ruined, and maybe try 4.0V to 7.0V (absolute max). Lookout for the higher voltages coming out of the data lines if you connect it to an Arduino to read it (use series resistors).
I recovered calibration data from a flaky EEPROM in a 2465 scope with this method.
I guess the reason there's no convenient images sitting around is that the ROM has to be unsoldered to read it. Someone with appropriate soldering skills and a reader has to be willing to do it to their working meter. (While being careful around the NVRAM and battery.)
There's two versions of the ROM, 1818-1753 and 1818-3123. Hopefully there's no hardware dependencies tied to a specific version.