SCOTUS has already weighed in on them numerous times; usually taking the side that allows them to stand.
The fact is that "the privilege" (more on that below) of EOs has become very abused; and it's abuse well pre-dates our current President.
My view is that they stand in the face of the spirit of the Constitution. Further, despite SCOTUS rulings upholding their use, there is nothing specifically in the Constitution that grants this privilege. Article II, Section I states , "The executive Power shall be vested in a President of the United States of America. He shall hold his Office during the Term of four Years, and, together with the Vice President, chosen for the same Term, be elected, as follows..." But, in my view, that's a step back from allowing EO's in the way we see them today. It's somewhat ambiguous as to what that actually does mean, especially in the context of the sentences that follow.
This view probably makes me some sort of crack pot but oh well.