Well, if we go back to 2000, said justice refused to recuse himself from ruling on the presidential election despite his wife being on the winning candidate's presidential campaign and transitional administration.

Seems a fair reason for the house to conduct an investigation to decide whether to send the matter to the senate for trial. Note none of that actually depends on Gore having won the vote, BTW.

I'd also like to know more about said justice's wife's role in the last election and if she involved her husband in any way to prepare for yet another Supreme Court intervention.