bpo-46261: Update sqlite3.Cursor.lastrowid docs (GH-30407)

Author: Erlend Egeberg Aasland

Doc/library/sqlite3.rst

@@ -845,14 +845,15 @@ Cursor Objects
 
    .. attribute:: lastrowid
 
-      This read-only attribute provides the rowid of the last modified row. It is
-      only set if you issued an ``INSERT`` or a ``REPLACE`` statement using the
-      :meth:`execute` method.  For operations other than ``INSERT`` or
-      ``REPLACE`` or when :meth:`executemany` is called, :attr:`lastrowid` is
-      set to :const:`None`.
-
-      If the ``INSERT`` or ``REPLACE`` statement failed to insert the previous
-      successful rowid is returned.
+      This read-only attribute provides the row id of the last inserted row. It
+      is only updated after successful ``INSERT`` or ``REPLACE`` statements
+      using the :meth:`execute` method.  For other statements, after
+      :meth:`executemany` or :meth:`executescript`, or if the insertion failed,
+      the value of ``lastrowid`` is left unchanged.  The initial value of
+      ``lastrowid`` is :const:`None`.
+
+      .. note::
+         Inserts into ``WITHOUT ROWID`` tables are not recorded.
 
       .. versionchanged:: 3.6
          Added support for the ``REPLACE`` statement.