https://gizmodo.com/obi-wan-kenobi-interview-star-wars-darth-vader-anakin-s-1848951914
In this interview Deborah confirms that Obi-Wan thinks he killed Anakin. So I wanna know, just how big was the rock he was living under that he hasn’t heard that Darth Vader was still active?
He wasn’t living under a rock, just on a rock. The furthest planet from the bright centre of the universe… where, presumably, holonet reception isn’t great.
Also I know in legends Obi-wan finds out Vader is alive shortly after Revenge of the Sith when he shows up on the news, but it feels like in canon most of the public aren’t aware Vader exists. He’s more like a shadowy enforcer.