A judge in one District Court is not bound by what a judge in another District Court in some other part of the country thinks.
A judge in a District Court IS bound by decisions of the judges on the Appeals Court in the circuit in which his District Court is located. And of course the Judge is bound by what the Supreme Court decides.
So you often have Appeals Courts in different parts of the country coming up with different legal analyses on the same issue. If you have a split among the various Appeals Courts in different parts of the country in how they treat the same legal question, often the Supreme Court will be willing to take a case on appeal in order to resolve the differing approaches to the issue and settle the question once and for all.
The State of Washington is a party to this case, hence, the Supreme Court has original jurisdiction.
Why the Acting Solicitor General did not go there Friday is a good question, as is the question of why this EO was issued before the DOJ team was in place.