Maybe the PRC's constitution does the same, but there are always exceptions, for example for national security.
It clearly doesn't matter what is written down. To go back to the original quote:
> There are no clear laws, only interpretations of the law based on the Party’s interests. China is not a nation under the rule of law. China is a nation under the rule of the Party.
While I'm sure they don't have any intention of making the judiciary independent, there were signs that even party members were a bit dismayed by some of the decisions if only because they were worried about public perception. I belive they talked about launching some educational efforts.
The result is a bit predictable.