Evangelical apologist admits (again) the New Testament authors did not affirm Sola Scriptura

In a recent episode of The Dividing Line, James White admitted the following about sola scriptura and the Bible:

What's the fundamental problem here? Well, well, it's the fundamental problem with the entire assumption "where the apostles Bible only Christians?" What did we say right from the beginning? Sola Scriptura isn't addressing that and doesn't claim that. (20:43 mark)

To repeat a great quote from Robert Sungenis on this issue:

Evangelical James White admits: “Protestants do not assert that Sola Scriptura is a valid concept during times of revelation. How could it be, since the rule of faith to which it points was at the very time coming into being?” (“A Review and Rebuttal of Steve Ray's Article Why the Bereans Rejected Sola Scriptura,” 1997, on web site of Alpha and Omega Ministries). By this admission, White has unwittingly proven that Scripture does not teach Sola Scriptura, for if it cannot be a “valid concept during times of revelation,” how can Scripture teach such a doctrine since Scripture was written precisely when divine oral revelation was being produced? Scripture cannot contradict itself. Since both the 1st century Christian and the 21st century Christian cannot extract differing interpretations from the same verse, thus, whatever was true about Scripture then also be true today. If the first Christians did not, and could not extract sola scriptura from Scripture because oral revelation was still existent, then obviously those verses could not, in principle, be teaching Sola Scriptura, and thus we cannot interpret them as teaching it either. (“Does Scripture teach Sola Scriptura?” in Robert A. Sungenis, ed. Not by Scripture Alone: A Catholic Critique of the Protestant Doctrine of Sola Scriptura [2d ed: Catholic Apologetics International: 2009], pp. 101-53, here p. 118 n. 24]