Export ir.note?

Is there any reason (technical or by design) to not allow exporting an ir.note from Export wizard?

There is nothing special with ir.note, they can be exported from “Administration / Models / Notes”.

I consider more interesting to export with the records related to the note.
For example, in the production list, export the notes related to the selected ones. That way I can filter based on production parameters.
If I need to export it from Models > Notes, I can not filter based on related record.

There is nothing special about the notes or any other model. As long as there is no field from the source model that target it, it is not in the export.
I do not think we should add by default such field on all models.