They are real, that much is proven in several different places. Akatosh is
definitely real as proven at the end of the Oblivion MQ, you speak to avatars of Talos several different times throughout the games, most notably Wulf in Morrowind. Trinimac being turned into Malacath altered all of the Altmer who closely followed him into the Orsimer. Lorkhan's heart existing under Red Mountain is pretty good proof that Convention happened, etc. etc.
To add on to that, every pantheon you find in the game is also real, even if they conflict. Reality in the TES series is... fluid, at least for divine figures.