[Resolved] Fresh WPML in current untranslated website - wpai * wpml import/export - cannot match taxonomies

Background of the issue:
I have a live WooCommerce store and it has been decided to make it multilingual. I'm using WP All Import and also downloaded WPML Import/Export.
All original products and taxonomies are in English and seem to be working correctly.
Now, I'm trying to import the translations of the Products' Categories before importing the translated products. Following the guide, I have exported the Products' Categories along with _wpml_import_language_code, _wpml_import_source_language_code, and _wpml_import_translation_group.
I have prepared a new file with the translations and set:
1. _wpml_import_language_code with the code of the translated language (el)
2. _wpml_import_source_language_code with the code of the original language (en)
3. _wpml_import_translation_group kept the same code to match the translation group.

Symptoms:
After WP All Import, the translated taxonomies are not related to the original terms but are shown as original with the second language. Running WPML Import/Export seems to execute correctly, but the terms are kept unrelated to the original language. Exporting again shows that all translated taxonomies cleared the _wpml_import_source_language_code and got a different _wpml_import_translation_group.

Questions:
Can you please advise how to import in bulk taxonomies for a store where there is already a default language?