Unluckily SYST:AZ: 0/1 and DISP:ENAB 0/1 are available only from remote interface.
Still, from local, you can use the shift+FILTER(TEST), DISPLAY, ENTER, ENTER... function were it will turn on and off all segments, in theory reducing wear.
A trick to "disable" AZERO from local (you need to send a remote command once):
K2000 permit to save and recall setups, that means that you can disable AZ by remote (with a common RS32 dongle) and save that setup in memory (shift+OPEN(SAVE), SAVE0, ENTER). Now every time you need AZ disabled you simply recall the desired setup were you saved some of the inaccessible settings (shift+CLOSE(SETUP), RECALL:SAVE0, enter).
I wouldn't expect much change from DC offset, after all these years looks good
If you want you can do such simple test ->
https://www.eevblog.com/forum/metrology/tempco-and-calibration-of-a-dmm-simple-data-post-processing/msg4644232/#msg4644232 to see how stable it is. In my case I saw that zero offset changes quite a bit with temperature. That means that doing a complete zero calibration wouldn't be that useful since it would drift again with temperature (in my lab winter-summer temperature goes from 16 to 30°C

)