Exactly.
He went into DEEP hiding, keeping an eye on the boy as directed by Yoda.
If all he did was cut up giant sand fish out in the desert and go to Mos Eisly to get the occasional supplies, how would he know?
I like the story so far with Obi Wan. Do not like Reva at all, terrible actress and storyline. The Princess Leia rescue comes very close to breaking canon... I just rewatched A New Hope and Leia doesn’t really react to Vader “killing” Obi Wan. She just puts a blanket on Luke’s shoulderes and says “There’s nothing you could have done...” Not a thing about knowing Kenobi as her previous rescuer and companion.