OpenRefine does work in that fashion.
It allows you to work with a single data grid at a time.
However, as you saw during Import... you can checkmark all the tabs of your spreadsheet to import than into that single data grid.
And then export however you wish.
If you want to "get back to original form"...
You'll have to spend the time to import one worksheet at a time...clean it up and transform how you wish...then export...
Then using LibreOffice or Excel...import each exported worksheet into a new tab....to get back to your original tabbed worksheet layout.
-Thad