On the desktop application, you can delete a table by selecting all the table AND one row additional row (e.g.:above it), then hit backspace: gone.
If you need to edit the table, i.e. add rows, I found this trick: I select and copy my whole table. I delete the table as per above. I insert a new table, the way I want it. I paste the content of the old table in the new table, BY PLACING THE CURSOR OUTSIDE the table, at the beginning of the first row above it.