The long term name will have to come from the Fathers, themselves. Earlier on, The SSPX of the Strict Observance appellation was applied, as was the " , Vienna Five", for the priests who authored the declaration from Father Ringrose's Church in Vienna, Virginia.
I agree, seems the SSPX Resistance tells it all. Don't know about a formal election-- was really an informal appointment,I think. Father Pfeiffer, because of his abundant energy, homestead, knowledge of many of the coordinators and locales, and the humility of the others, seemed to be the logical informal choice for the near term. Don't think Bp. Williamson is really the leader-- he's making himself available to
any resistance groups in all the various countries.