It is technically possible to show the GUI, as the screenshot command is supporting it:
* show_gui - Whether to include GUIs in the screenshot or not. Defaults to false.
* show_entity_info - Whether to include entity info ("Alt mode") or not. Defaults to false.
* show_cursor_building_preview - When true and when player is specified, the building preview for the item in the player's cursor will also be rendered. Defaults to false.
(From https://lua-api.factorio.com/latest/LuaGameScript.html#LuaGameScript.take_screenshot)
The 'show_entity_info' is available in the mod, the other options I did not look at, so I have no idea how they pan out.
I'll add this (if the screenshot do make sense), opened the following ticket: https://github.com/veger/TLBE/issues/35