I am looking for a conditional to test simply if a post (custom post type, if it somehow makes a difference) is set to have password protection…persistently…regardless of whether user has accessed the post via the password or not.
post_password_required()
only returns true if the user has not already entered the password
get_post_status()
(though it does return a ‘private’ status if a post is private) only returns ‘published’ for a password-protected post