Hello Stephane, and thank you for posting to our community!
Unfortunately we do not have a way to map these attributes coming from your WooCommerce store currently. However, we are looking into possible options for how to handle this information going forward.
Would you consider reposting your specific needs and interest to our Feature Requests forums? These are monitored by our CEO and Product Team and used to prioritize future development work.
We look forward to seeing you in the Feature Request forum and taking an active role in helping to shape ShippingEasy!
Thank you and happy shipping!