I've been putting together a python script to automate this thing and I came across something interesting in the manual:
https://www.gwinstek.com/en-US/products/downloadSeriesDownNew/13505/769On pdf page 19 of 72 (or page 37 internally)
Note: After the test frequency has been changed, the zeroing must be performed again. See page 24
I was hoping to automate a frequency sweep of some components, but this isn't looking good for that.
There is a "Recall Calibration" function, but no save calibration functions. The only other mention of "Recall Calibration" is on page 46:
Recall Calibration Settings
Background: When measurement values are inaccurate, original calibration settings can be recalled.
There are 100 "Store" and a "Recall" memory slots, but it doesn't say anything about open/short cal being part of this setting saving.