Importing to a custom post type that is ‘publicly_queryable => false’

I found that my CPT does not show up in the “Import to Post Type” dropdown, if it is set to publicly_queryable => false.

I rely on this option because I don’t want single pages to exist for this post type, and this is the option that allows me to do that.

It’s easy to quickly set it to true for import, but I would like my client to be able to import in the future, and they won’t know how to change this setting.

Any thoughts would be appreciated, thanks!