I'm dubious about that theory. I accept that Lutheranism itself or Lutheran theologians influenced the English Reformers in a certain way, but when it came to putting down their beliefs on paper, as with the Articles, it was Calvin and Zwingli who came through more strongly.
You certainly are correct that there is a strong Calvinist/Zwinglian tone to the 39 Articles. At the time of Henry VIII there was not much of a Calvinist influence, but there were English Bishops and Clergy that were interested and even sympathetic to Lutheranism. William Tyndale studied Hebrew in Germany and was himself greatly inspired by Luther.
The Calvinist/Zwinglian influence in the 39 Articles does not come directly from either Calvin or Zwingli, but Indirectly through Philipist Lutherans, those who chose to accept the alterations made to the 1580 edition of the Book of Concord which reflect the more "Christian Universalist" later writings of Philip Melanchthon.
The Anglican Church is now in fellowship with theological decendents of the Philipists; the Evangelical Lutheran Church In America, and their Canadian Counterpart, ELCIC; as they also are with the theological descendents of Calvin/Zwingli; the PCA.
There are a lot of stuff in the 39 articles which is almost verbatim from the Augsburg Confession; yet as a former Pastor of my once said; "If you read the 39 articles from a Lutheran perspective, you will see a Lutheran Document; if you read them from a Reformed perspective, you will see a Reformed Document.
It is for these reasons that there is little respect among Confessional Lutherans for Philip Melanchthon who's later works resulted in not only the almost complete destruction of Confessional Lutheranism through what we now call "The Crypto (hidden)-Calvinist Controversy"; and the ill-conceived "Peaces" and "Interims" Between the Lutherans and Rome.
One can speculate that had the Calvinist influence been kept out of Lutheranism, that history may have shown more of a mutual understanding between Lutheranism and Rome, rather than the mutual antagonism that marked European history for so many years. It was the stain of Calvinism that prevented any meaningful dialogue between Wittenburg, and that ultimately destroyed the good will between Brandenburg and Rome.