I've never really been super-hung-up on things like Obi-wan stretching the truth or lying, but I suppose you could make the change. OT Obi has been a liar ever since Vader turned out to be Luke's father, and that's fine. Saying inaccurate things like "The" is alright too; it's not like you can really fix the lack of Qui-Gon mentions later in Yoda's hut.
But yes, probably doable.