The connector itself interacts with the translation integration framework from Adobe. As per Adobe's documentation, live copies are not suitable for translation and Adobe only supports language copies for translation.
If a live copy is sent for translation, it must be edited after it is returned to make the live copy functionality work again because once AEM recreates it, the connections are lost. A translation project could be created without the AEM Connector and the result would be the same.
Target page post-processing:
rewrite if present “jcr:language” property
rewrite path properties like "parentNode" or "pathToProducts”
rewrite internal URLs in all links <a href='...'>
Since this functionality is not related to the connector but to AEM itself, we recommend engaging with AEM support for assistance with Live Copies.