Something like that. IIRC, Franklin, Jefferson and such were deists, i.e. believing that there’s something godlike and numinous but that something is not the Abrahamic God or anything similar, but rather some kind of sacred principle of being or something.
IIRC, Freemasonry requires one to purport to believe in a supreme being, though that is so loosely defined that one can fill the gap with a tautological definition.
As an outsider I always cringe and laugh at anything related to these kinds of things done there and we see on tv. Random political people talking? Then they mention god and all stupid stuff. Justice things like on a judgment and people swear on bibles and shit like that. It's a cult, all of it.
The subtext is clear and not all religions believe in a single God and not believing in God is a religious preference when talking about a state not discriminating against or in favor of a specific religion.
Except that Christianity is the only one with the hubris to take the generic term "god", slap a capital "G" on it, and call it the name of their god. Capital-G-God is the one that keeps being used, even by you...