Garth can be affected by the changes made to the Abramsverse. Khan cannot.
Everything could change about Khan's story after he's revived and as we've seen it in TOS and TWOK.
Khan's physical description can't. Everything pre-2233 is the same in both universes.
The only possible way would be for the Botany Bay to have been found by someone else and Khan given some sort of treatment to change his appearance and make him stronger.
Still, though with the pre-2233 canon being the same, V'Ger and the Whale Probe should be showing up eventually as well.