It actually not possible to export the content of a tab in the modeler (Console, Changes, Stories, Errors tabs...). it was a nice option to be able to export the grid content of a tab from, the existing right menu. Sometime, after a search, we need to get the result and it s not possible. I think it easy to add it and help a lot !
Patrick,
From the 7.11 release notes:
Seems that this idea has been partially implemented.