The localization bundle is set by AWM using $services.localization.use() and it seems that $doc.display() does not benefit of the localization bundle. This is not visible on a unilingual application because AWM also set the translation directly in the class definition.
To easily reproduce:
1) Create an AWM application with a select static list field, and also display it in the livetable
2) edit the class manually to remove the translation in the static list value definition
3) both in the sheet and the livetable, the translation are not applied properly on the static list value