My first reaction was : "Wait... What ? Kesha sis, you just could not have lied about this"...
Then, "why these questions were been asked to Kesha in 2011 ?"
But if you're thinking about it, if back in 2011, she was asked to answer to these questions, she's definitely telling the thruth now. She answered "no" cause she probably wanted to protect him (they seemed to have a close relationship back then). It was before
Warrior and all the mess that followed, so she was close to Luke, she was successful and had no reasons to get out of the contract. She probably swore to him that she'll never talk about what happened, by fear. Why would she have ****ed up everything at this point of her career ?
Anyway, this is such a horrible, ugly mess...