At the moment, the only way translations could be added for a table variant is by setting Translate flag on in the Settings tab page of the variant:
It is easier and more intuitive to do that directly from the Translations tab page of the variant:
The possibility to generate translations for table variants in Translations tab
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Perhaps it would be even more intuitive if the Translation detail tab was not available until Translate is turned on. The Translate checkbox determines if a translation object should be generated and read by the GUI to show the alternative translation over the base object.