The caching issue would clear up eventually, just give it some time. The CCPA process is slower, so probably the caching issue would be resolved by the time the courts heard it.
Private is different. What if I posted in a sub like r/BasicIncomeUSA that went permanently private during the blackout and never came back? 30 days, 45 days, still private. Worse, what if it's a sub where the mods all delete their accounts - or they are unresponsive (because they quit using reddit without deleting their accounts).
So yeah, private means that reddit has to be the one doing the deletion, as a regular user may not even have the tools to delete otherwise.