Jason knows the Roman name for storm spirits and satyrs, demigods (as far as I know) use the greek names for gods, monsters and what not. So what if his godly parent was a Roman god, one with out a Greek equivalent. I did the research and sadly all Roman gods have a Greek equal.
My next theory was that Jason's godly parent is the patron god/goddess of Rome or that they have something to do with Rome. These are the possibilities (If you believe my theory)
Ares- Ares is considered the patron god of Rome because he was the father of Romulus who was the founder of Rome.- I don't believe this is it because we know sons and daughters of Ares and as far as we were informed they don't use (maybe even know) the Roman names.
Angerona- Angerona is the goddess of secrecy and the protector of Rome.
While neither of these explain the air supporting him thing, (maybe Zeus or one of the wind gods were feeling generous and decided to save Jason and Piper) it is still something to consider.