Is there evidence for the assumption that courts will be slower at responding to urgent cases than agencies, keeping in mind tools of the court like imposing a

Is there evidence for the assumption that courts will be slower at responding to urgent cases than agencies, keeping in mind tools of the court like imposing a stay? In a complementary hypothetical scenario where you’re not being saved but rather harmed by an agency’s actions, with the matter being decided in the courts, you can now expect to have well established protections like due process and appeal.