Professor Revesz has written an interesting article titled Congress and the Executive: Challenging the Anti-Regulatory Narrative. In it he concludes:
Furthermore, in a troubling development, the Trump Administration’s has turned away from cost-benefit analysis in order to carry out its anti-regulatory agenda, disregarding an established bipartisan consensus that stretched back several decades.
Whether or not one agrees with his conclusion it emphasizes the importance of preserving critical executive orders as emphasized in this post so they can be used to referee such disputes.