See post: http://wordpress.org/support/topic/paragraph-type-custom-fields-not-working
When selecting a 'Paragraph Text' field type, in a Custom Field GF field, the data is not passed to the custom post type (using the Gravity Forms + Custom Post Types). After investigation, it does not appear that the add-on is the issue.
What caused the issue was the GF user checking Create content template and then inserting that field in the template box. So for Post Field > Custom Field was inserted. Field Label was named Entry. Paragraph Text was selected, and Create content template was checked. Inside the content template box, {Entry:8} was inserted. This always resulted in nothing being sent to the database though properly captured by GF in the GF entry. Once that box was unchecked, content was sent correctly.
However, with Post Title, create content template was checked and inside the template was placed {Name (First):3.3} {Name (Last):3.6}, which was from the next field, and it worked every time.
SO, is it safe to say: "So for items that you are not using content template from other fields, leave create content template unchecked."