Yes. But adding the choice to Customer Defaults. So it won't change every time I import parts. Make the Auto Generate-name choice "constant".
How to get those selections visible ? (Must I close all parts or ?)
Based on your image it looks like those are locked at the site level. You have your filter at site and unlocked. You can try to set the filter to site(read-only) and locked and see if they show up and what they are set for. Your system administrator must have set and locked all the rest of them.