Francis is an antipope hands down.

He's also wrong about BXVI's resignation. Munus refers to the ontological-sacramental function (i.e., potestas ordinis), which is no different in the pope and any other bishop. This is a matter of the permanence of episcopal (and sacerdotal) ordination.
Papal Infallibility and the Universal Jurisdiction of the pope lies in the unique Petrine ministerium (i.e.,potestas iurisdictionis), which refers to the office he holds.

He's confused. Anacletus was considered an anti-pope because Innocent had already been elected.