Well, it is correct that there is no such thing as judicial supremacy for these district courts. They are not, in fact, even equal. In the discussions and writings of the founding fathers, the Judicial was labeled as the weakest of the branches.
The legislature has the power to reign in the courts, if they weren’t such limp wristed cowards, it would have been done long ago. Starting with the Madeline Murray case against prayer in school, and abortion.
Exactly, the three branches are separate but can’t be co equal as they are delegated unequal responsibilities in the Constitution.
https://www.creators.com/read/joseph-farah/05/09/lesson-for-a-constitutional-scholar
“But note how the powers of each branch are “different.” How can different powers ever become equal? Yes, the three branches were established to diffuse power but not equally. There were some among the founders who wanted co-equal branches of government. They lost the debate, and they knew it. They acknowledged it.”