The fields were created by one of my plugins using update_user_meta(). I wrote a small shortcode to read them using get_user_meta(). It works as I had hoped the Types shortcode would. So, I have resolved my issue but still would like to find out how I might have used the Types shortcode successfully to get a user meta field value.
I thought that Types would be able to display both fields under Types control and fields not under Types control. I don't wish to add my new user meta fields to Types control. I have had better luck with Types on post meta than on user meta.
I thought perhaps my new user meta fields might have slipped under Types' view because I created them with update_user_meta() rather than add_user_meta(), but reconsidered that thought when I saw all of my new user meta fields listed correctly in the Types user fields control. It seems odd that Types can see the fields there but cannot successfully return the values in the Types shortcode.
I'm sure you are busy with many unresolved issues, so feel free to mark this issue resolved and move on to help other people. I do think there is an issue in Types that needs to be resolved here, however. I'll leave this issue status as "I still need assistance" rather than "My issue is resolved" in case you need any further information.
Thanks for clarifying that the Types shortcodes can only be used with fields controlled by Types.
I tried the Views shortcode without success. I see in the documentation that you linked that the Views shortcodes context is "inside a user view loop." Does that mean I cannot use the Views shortcodes directly on a page but only in a View or Content Template on the page?