User Registration Update User Does not update Display Name

I have a User Profile Update form that is linked to the User Registration Update User feed. However, when a user changes their first or last name, the user display_name is not updated to show their name changes. For example, if the original names were first name: Billy and last name: Bob and the display name was "Billy Bob" and the user changes the first name to Charles, the display_name remains "Billy Bob".

The User Settings Display Name field is set to {first name} {last name} in the feed settings. Do I need to add a hook after form submission to get the display_name updated?

Update: I added code to hook into the after_submission hook as a work around. I just thought the user update feed should handle it.