The refs would tell the players who should break next if they asked. In the matches I watched, no out-of-order foul occurred on the break. However, an out-of-order foul was committed by Corrieri in the Round 1 match of Italy vs. Spain. Corrieri broke dry, Alcaide pushed, Italy returned it to Spain, Alcaide slopped in the 2-ball, and Sanchez-Ruiz played safe. Then Corrieri shot for Italy when it was Petroni's turn. Spain took ball in hand and ran out the game, but they lost the match.I hope the players were not responsible (under penalty of a foul) for remembering who was supposed to break next.
There was a comment that Team X kept choosing Player Y to shoot the hard shots, which I didn't understand at the time. With the non-breaking team having the choice of order, I can see how that would be possible.