Wouldn't "the Sect of Reason" be a much better English translation then?
"Culte" in French and "sect" in English are neutral.
"Secte" in French and "cult" in English have negative connotations.
I briefly considered it, however "Sect" does suggest (from its root) that it's an offshoot of some larger religion, which isn't the case here.
Cult has only recently (etymologically speaking) become a pejorative in English
Perhaps it depends on the connotation they were going for or the one it developed. Like Ivan the Terrible. A more accurate translation to the current connotations would be "Ivan the Terrifying".
Which is funny, because at least in my experience "cult" that's pretty strong negative connotations, but "sect" has either very weak negative connotations or is outright neutral.