This should be doubly true for those around here who refer to Pope Francis as "Bergoglio," despite the plain fact of his being pope by all outwardly apparent criteria.
Does he have the four marks? Does he have apostolicity of doctrine (you can research it by reading Van Noort's ecclesiology text book). If he doesn't have apostolicity of doctrine, he is not the pope--not even by "outwardly apparent criteria".
This is quite beside the point that I was making, which is simply that sedevacantists who assiduously refrain from referring to the current occupant of the Throne of St Peter by his regnal name, despite his having
at least satisfied the criteria of outward apparency, should be at least as assiduous in refraining from referring to Mr. Bawden by his self-proclaimed "regnal" name, as he does not satisfy any criteria at all.
But, for the record, and since you seem interested in proselytizing sedevacantism to me, I will state that my own position on sedevacantism is identical to that of the late Canon Gregory Hesse.