DELETE FROM and UPDATE through a view made invalid by DROP COLUMN modify the base table, while SELECT from the view fails with ERROR 1356

CREATE TABLE t0 (a0 INT, a1 INT, a2 INT);

INSERT INTO t0 VALUES (NULL, 1, 1), (NULL, 0, 1), (5, 1, 1);

CREATE VIEW v AS SELECT t0.a2, t0.a1 FROM t0 WHERE t0.a0 IS NULL;

ALTER TABLE t0 DROP COLUMN a1;

SELECT * FROM v;                 -- ERROR 1356 (HY000): View 'test.v' references invalid table(s) or column(s) ...

DELETE v FROM v;                 -- ERROR 1356

DELETE FROM v RETURNING *;       -- ERROR 1356

INSERT INTO v (a2) VALUES (9);   -- ERROR 1356

UPDATE v SET a2 = 7;             -- Query OK, 2 rows affected

SELECT * FROM t0;                -- (NULL, 7), (NULL, 7), (5, 1)

DELETE FROM v;                   -- Query OK, 2 rows affected

SELECT * FROM t0;                -- (5, 1)