If it worked that way, isn't it curious that they are never quoted in the NT? I have no problem with the Apostles knowing the Septuagint, and I don't think a quote in the NT is necessary to validate an OT work. I just have a hard time believing that the NT presentation of satan is BASED on the deuterocanonicals. Inspiration means that the ultimate basis of the writings was God Himself, rather than other works.
The LXX books known in the west as the "deuterocanonical" (because they don't appear in the Pharisee OT) are part of what the Apostles considered Scripture (Septuagint, LXX), and therefore inspired.
Over 90% of OT references in the NT come from LXX. The books the west calls "deuterocanonical" and the Protestants "apocrypha" do develop angeology beyond what the west calls the "Hebrew Bible."
The idea that Satan is a fallen angel is foreign to Pharisaical Judaism.