Interesting that in this ROTJ-era version of the prequels, the twins are hidden from both Vader and the Emperor, if Ben knew Anakin survived the duel. Hiding Leia on Alderaan and Luke with his brother’s family makes sense bset they nothing to do with Anakin. Hiding Luke with Anakin’s step-brother only makes sense if they take Anakin for dead. It still doesn’t explain who thought it was a good idea to leave his last name.
Of course in the ROTJ-era version Owen was Obi-Wan’s brother rather than Anakin’s half-brother.