Why are people at their jobs so fatally allergic to honesty?
Secondly, there’s three sides to every story. Yours, theirs and the truth. If I say “my manager is an asshole so I’m leaving his team”, it’s probable that my manager has a different take on it, maybe “maccard said they wanted to be kept in the loop so I am telling them what happening but they accuse me of changing my mind”.
Maybe the boss being a raging ass is the root cause of the team moving in the wrong direction. But that may be debatable, and knowing that doesn't answer the interviewer's question. The more relevant piece is that you and the director disagree and that you don't want to waste your time working on something you aren't inspired by.