What I've surmised from the conflicting reports is that WB is definitely eyeing Affleck for the gig, but Deadline spoke directly to his reps, and they said he may take a meeting at most, but ultimately isn't interested in the job. So no one's lying. Variety is correct - WB does want him - Deadline just has further info (Affleck's not interested).
So if that's the case, I'm liking the sound of Yates for this. In fact, if it came down to the two, I would prefer Yates for this. His State of Play was amazing and his work on the HP movies was very good - just behind Cuaron's, imo. He's good with actors and has demonstrated far more visual flair than Affleck, so I think he'd be a better fit anyway.