Or can/would Juliana sing something from Millie?
I'm pretty convinced they aren't making these songs choices, at least not this week. Austin commented in his preview sequence that it wasn't a song he was happy or comfortable with. I can't imagine he would have chosen it for himself.
Likewise, I doubt many of those ladies would have purposely chosen Lloyd Webber songs knowing he was going to be there squinting at them.
BTW, he may be a billionaire, but I think he gets weirder and more eccentric every time I see him.