Excellent, thanks, that's the result I was hoping for
In theory, you should be able to send back ":TEST:INSTR:INFO:DATA E4916A,JP1KD00868,010,000,000,000" (ie: just swapping the first 000 to 010) to enable the LCR option.
A few caveats:
I'm basing this on reverse engineering the v2.13 firmware linked above. It's unlikely, but your version could behave differently.
The firmware does a bunch of checks on the string sent to verify the option strings, however it does let you overwrite the model (to either "E4916A" or "E4915A") and the serial number so type carefully.
There could be side effects I haven't noticed, so it's probably best to have a backup of any flash in there for minimal risk.