Inline changes to custom fields aren't reflected in custom greetings

Steps to reproduce:

1. Note the system ID of an existing custom field. In this example we'll use Most Important Issue, custom field ID=1, options: Education; Environment; Social Justice.
2. Find any existing contact and set a value in the custom field, e.g., "Education"
3. Edit a contact's "Addressee" field to "Customized", with the value "{contact.custom_1}" and save the contact; note that the Addressee field now says "Education".
4. Change the value of this custom field via the appropriate inline editing or tab for the custom field group; alternatively, use the CustomValue.create API like so: 
   cv api CustomValue.create sequential=1 entity_id=N entity_table="civicrm_contact" custom_1="Env"NOTE: This repro recipe will not work if you change this field value by using the "Edit" button for the contact (i.e., by navigating to to /civicrm/contact/add?reset=1&action=update&cid=[N]); or by using the Contact.create API)
5. Note that the Addressee field value is NOT updated to reflect the new custom field value.

Quick diagnosis:

• Looks like the CustomValue API / CustomValueTable BAO should be invoking CRM_Contact_BAO_Contact::processGreetings() if the entity_table parameter = 'civicrm_contact', but it's not.
• Also, the inline UI for custom field groups should be sure to refresh the page data for display of greetings.