That's quite possible. It would only take a couple of minutes to run through each one. Alternatively a ten second transmission time delay on the draw itself with the handshakes as drop ins. Your theory is better though.
I think it was. As soon as the first ball is drawn out the 'fan' is rushed into place. There's a good three or four seconds for that. The others are lined up and the relevant fans step forward. It's most likely rehearsed.