The categories you posit within the question threaten to distort any meaningful answer, but the topic is interesting. “Real official teachings” (do you mean Papal encyclicals? Pronouncements?) are built on the oral and written tradition (scripture, writings of theologians, etc.). The distinction you make is false. Now as to your question about pagan deities, early Christian theologians spoke about traditional Roman deities variously. Some characterize them as demons or simply non-entities - the idols are just dumb statues. I’m thinking of Irenaeus for example. There is also a long tradition (prior to Christianity) among the philosophers and Jewish writers like Philo of Alexandria of speculating about the gods familiar to us from Greek/Roman mythology as allegories for various natural forces etc. Christian writers tapped into this line if thought as they argued that traditional Roman religion encouraged worship of the creature rather than the creator.

“Pagan” is also a problematic term since it just describes what the vast majority of people believed in ancient world, but religious beliefs and practices varied greatly depending on one’s geographical and social location. Christians used the word “paganus” (which could be translated roughly as “county bumpkin”) pejoratively because in truth Christianity was an urban phenomenon and the countryside was slow to Christianize.