Consider the arguments of CDT agents as they twobox, when they claim that they would have liked to precommit but they missed their opportunity

Why would they do that?
CDT two-boxes because CDT simply fails to understand that the content of the box is influenced by its decision. It deliberately uses an incorrect epistemic model.
So when the agent two-boxes and it obtains a reward different than what it had predicted, it will simply think it has been lied to, or if it is one hundred percent, certain that the model was correct, then it will experience a logical contradiction, halt and catch fire.