One of you is right. One of you is wrong.
Wish I knew which :)
The Supreme Court would not touch this if they tried to get in there, they are not a trial court. However a lower federal court could have trial jurisdiction because of the obvious civil rights violations against president Trump committed by Adam Schiff, as a matter of a quasi judicial hearing involving the personal jeopardy of the present. This would be an administrative law case based on Civil Rights violations.
Yep, they would be able to get into court on the regulation.