Editing and exporting

You seem to have misunderstood or not yet fully adopted how LrC works.

Except for rare cases, it makes no sense to re-import edited and exported files. I also suggest not to store exports to the same folder as the original is living in - maybe a personal thing.

As Rob already said, there is no "Save" in LrC. Your work is always and immediately saved in the catalog. Exports are a rather temporary thing for exactly the purpose you need it and can be deleted afterwards ... however you like.

You can always re-export and automatically include the latest edits made.

LrC does not 'Save' files.

All edits in LrC are stored in the Catalog (Library database).

You can 'Export' a copy that will embed the edits in the new file.

There is no reason why your preview of the original photo should change in the LrC Library. It will appear as it was last edited, with a History of all the edits you applied.

Perhaps, provide a more detailed explanation of your workflow, and some screen-clips, that might help get you an acceptable answer.