You have correctly explained the legal process. Directing how the VP should act in advance of that process, on behalf of a legislator is still outside of the court’s role.
There is a difference between “directing which choice to make” and “directing who is responsible for making choices”.
Gohmert is right to demand that those who ARE responsible should be DIRECTED to accept their responsibility... rather than violate the Constitution... by PRETENDING they are not responsible.
You can extend the argument from there, to the next level:
If Pence is refusing to acknowledge his specifically DIRECTED responsibility... as the Executive with the sole responsibility in conducting the election... who is he seeking to wrongly empower INSTEAD... in exercising that power to choose, when he wrongly refuses to accept responsibility ?