Can confirm that Sutured Ghoul does not work as expected here, but the problem seems to be that the client isn't recognizing Characteristic-Defining Abilities of cards in exile.
604.3. Some static abilities are characteristic-defining abilities. A characteristic-defining ability conveys information about an object’s characteristics that would normally be found elsewhere on that object (such as in its mana cost, type line, or power/toughness box). Characteristic-defining abilities can add to or override information found elsewhere on that object. Characteristic-defining abilities function in all zones. They also function outside the game and before the game begins.
Initial Test
Second Test showing the incorrect display of CDA values in exile
Event#268494035 Game#877208702
Event#268494337 Game#877209816