Without listening to the audio (yet?), the principle is...if a true pope approves of some results of a doctrinal convention of bishops, then it is a legitimate council. In other words, if you accept Paul VI as a true pope, then you must accept Vatican II as a legitimate council. There is no via media.
This is your own made up theology. You should stop speaking about things you don't know anything about. The First is Catholic Theology, the Second is History. I will be correcting both in your various ill-informed posts.
What the
CHURCH teaches, is what the church has always taught, it is Tradition. The Pope cannot create anything New and make it what the Church teaches. The Only time the Popes add to what the Church teaches is when they Clarify a Dogma which has always been believed and Define it Ex Cathedra on pain of not being a Catholic.
This is also the only time a Council speaks Infallibly aswell.
The Pope does have to promulgate those definitions of a Council to make them Ex Cathedra and Ecuмenical.
An Ecuмenical Council is a council which defines a Dogma and Condemns Heretics. If it doesn't condemn anyone it holds no Infallible markers whatsoever.
You'll note that The Council of Florence is only partially Ecuмenical, because the Pope did not Promulgate all of the Definitions.