During the Founding Era, the President of Harvard College was an "Old Light" named Edward Holyoke (1689-1769), a pseudo-arminian, Unitarian; typical of the Boston Elites. It's fair to say, Holyoke, as President of Harvard, was responsible for day to day operation of the college, which included teaching. He was essentially responsible for the theology taught at Harvard. John Witherspoon was likewise responsible for the theology at Princeton, and the same for Presidents of: Yale, King's College, Penn, Rutgers, Dartmouth, et. al.
Holyoke was an ardent opponent of Calvinism and the "Great Awakening," the famous revival of the 1730's and 1740's. Holyoke, and others, wrote an attack against George Whitefield, called: The Testimony of the President, Professors, Tutors and Hebrew Instructor of Harvard College, Cambridge, Against the Reverend Mr. George Whitefield, And His Conduct. To the elites of Boston, ANY emotional behavior was deemed childish, and un-christian. One wonders if they believed what the scriptures say about speaking in tongues, and David dancing to the Lord.
Most likely, Harvard, at Boston, and William and Mary, in Virginia, were the only colleges that did not teach Orthodox Christianity to the Founding Fathers. Even at Harvard, Enlightenment Rationalism was taught to supplement the Scriptures, not vice versa.
Under Holyoke, Harvard rejected Orthodox Christian Fundamentals:
“The fact that Harvard had moved a long way from the strict faith of the fathers, under Edward’s “catholic temper” all manner of heresies flourished, or if they were not encouraged, were not firmly suppressed. Yale was the only stronghold of orthodoxy.” “Much was said, both in approval and censure of the President’s “catholic temper,” which soon affected the intellectual climate of the college. He had, moreover, “a good spirit of government.”
It is no mystery, Holyoke's arminianism derived from his "catholic temper," with its emphasis on salvation by works.