Hi Josef!
The content of custom tabs are stored in standard WordPress meta fields of the products.
I do not know which tool do you use to get the attached output result, but if it possible configure this tool to log custom meta field.
The key of tab content meta fields (meta_key) is equal to the slug name of the tab_type that you have created.
I hope this information is help you.
Peter Rath
WebshopLogic