This is more of a question than an actual fact but I think it's possible for Obito to use Kamui to i.e switch his eyes (against TS) or his ears (against frog genjutsi) to the other dimension so they wouldn't have any effect on him?
(this is just a logical assumption don't start a flame war or insult or i'll report you)
(this is just a logical assumption don't start a flame war or insult or i'll report you)