  The left-to-right direction of CTU looks relatively secure when we attend just to independent and identically distributed trials. But when the trials are not independent, like the examples in  §4.4,  future outcomes can happen by chance, even if knowing the past states of the system does put one in a position to better predict the future outcomes. The right-to-left direction of CTU is in even worse straits. For if KML-randomness of a sequence entails its unpredictable generation, then every counterexample to RCT which involves KML-randomness without chance will also involve unpredictability without chance, and also constitute a counterexample to CTU. There is no succour to be found for defenders of RCT in this conception of randomness.