HS had access to Dartmouth educational ideas.
Behrens, Richard K. "Dartmouth Arminianism And Its Impact on Hyrum Smith And the Smith Family," The John Whitmer Historical Association Journal 26 (2006): 166-84, accessed April 12, 2021
Dartmouth College had significant influence on the LDS Church, both direct and indirect. The Dartmouth College Case saved Dartmouth College and provided the legal precedent to preserve the LDS Church in Nauvoo long enough for it to grow to critical mass. The Dartmouth Medical School played a significant role in saving Joseph Smith's leg. Hyrum's education at Moor's school provided a tutor for unschooled Joseph. Hyrum's exposure to Dartmouth's theology, cosmology, ancient language studies, architecture, Ethan Smith's son Lyndon, and Solomon Spaulding's nephew James Spaulding from Sharon, Vermont, who was attending the Medical School, all provided discussion material for tutoring Joseph during his long recovery from leg surgery that kept Joseph at home on crutches until the Smith family reached Palmyra. The future development of Mormon Doctrine so parallels the Dartmouth Lectures that it is hard not to perceive their stimulating possibilities. Perhaps those discussions prepared Joseph Smith in his 12th year to be "concerned for his soul" soon after the Smith family arrived in Palmyra and in a few short years to receive his First Vision. The rest we know as "Mormon History.
Link to the direct page referenced: https://www.jstor.org/stable/43200240?seq=14#metadata_info_tab_contents