I can't believe I'm arguing this topic on two threads today!
You cannot come to the conclusion that every book that was in the Greek Septuagint automatically made them "wholly inspired". Are you forgetting that there were not seven but FIFTEEN books that were noncanonical for the Jews yet were included in the Septuagint? Is it your contention that Paul included them as well as inspired by God? That is a leap that not even your church would make into the Council of Trent fifteen HUNDRED years after Paul wrote to Timothy!
I don't read St. Paul's mind, but I believe the Holy Scripture and there he did nor provide the table of content. He simply pointed to scripture traditionally known to Jews of the time, so we have to accept his judgment.
Yes the Church did not put every book that was ever in Septuagint into the Canon. But those seven she did put into the canon as early as 4 century, -- and no Christian canon existed earlier.
You are confusing "canonical" and "inspired" again. The second category is much larger.