The Prince of the Host is the Prince of the Covenant, Jesus Christ.
The Ottoman Empire never truly magnified itself to the Prince of the Host as they believed Christ was a prophet and they were also tolerant of other religions.
A case could be made that Antiochus Epiphanes did in fact magnify himself to the Prince of the Host through his actions with the Jews. However, we must remember that Antiochus predated Jesus arriving on this earth as the Prince of the Host (Covenant).
The Papacy magnified itself by taking specific action in place of Christ. Actions such as appointing priests to forgive sins and convincing believers that the Sabbath had been changed.