Of course it mentions the Pope first.
The first rival of the heretic is the old religion.
Note, interestingly, it does not mention Protestants in any way. Guizot, Metternicht, the Tsar, etc. were Catholic or Orthodox.
Heretics teach a false doctrine while pretending to be part of the religion they are attempting to subvert. This is not what communism is.
Communism, remember, has declared itself opposed to all religion. Not just Christianity or Judaism. All religion is regarded (per Marx) as “the opium of the people” to be stopped “cold turkey” and forced into atheism.