Golf and snooker both come to mind. In both sports players are expected to call rule infractions on themselves and they regularly do so on the biggest stages.
Obviously snooker is the closest analogy. In snooker the players routinely call a foul on themselves for touching an OB, feathering the CB, double hitting the CB etc. even when there is a referee standing right there watching. I’ve seen dozens of televised matches where the player calls the foul and the referee didn’t see it.
The player in those situations is an a position to know with certainty that they fouled. I’ve said earlier that this particular situation (which ball is hit first) is harder and the closest example I’ve seen was a player asking the referee go watch a replay because they thought they might have hit the wrong ball first (he had not). In that situation I don’t know what the player should do if the referee does watch the replay and thinks it’s a good hit but the player thinks it wasn’t.
