It's the same problem as for Beaver Themer when you output a group field in the admin columns. It's not supported yet.
when I add any values to the custom field form for my CPT “Packages” – the values dont’ save when I click Submit. so if no values are stored for my custom field that I want displayed in admin columns, will that prevent the title of the column from displaying too?
Can you check why the fields are not saved? Without values, the column is still displayed in the table, but the column is empty. The column table is always displayed, though.