I rather liked the sycophantic model. I had asked one of them , probably copilot, who win win a piano playing contest if Liberace challenged Schroeder. When it responded Liberace in a walk, I rebutted by pointing out that the challengee gets to pick the piano. Schroeder would pick his tiny toy piano with the black keys painted on, and play a Beethoven piece perfectly. Liberace couldn’t even get his candelabra to fit.
The AI admitted that this argument was authoritative.