They were all “we need to not prefer any particular religion”, but were so ignorant of the world’s religions—and irreligion—that what they actually settled on was deism.

Deism is ultra progressive for an 18th-century government, but in using a one-god religion as part of the basis for their Declaration of Independence from George III means being non-sectarian was neither Hindu (more than one god) or non-theistic (less than), but rather monotheistic.