> that involved practicing arcane rituals worshiping an ancient deity
Adding this seems to betray your intent. While worship of a deity might be a practice of some cults, not every cult worships a deity. Conversely, not every religion that worships a deity could be a called a cult. You including it makes it the defining factor in your example above, beyond the standard common features present in many communities and organizations of people.
You're cherry picking here. Worshiping the deity was one of the characteristics, the rest being: ritualistic meetings, social fulfillment, familial pressure to be a member of the group, indoctrination from an early age, and emotional support from group leaders. If you pick any of these characteristics individually, you could easily say "not all cults do X, and not all religions are a cult." But taken together, they suggest that many religions are cults.
I think you did exactly that in the prior comment. You opined that if from birth the people serving or socializing in the homeless organization incorporated some sort of supernatural element it would be a cult. It feels to me like there is a prejudice against religion with your comments. Bear in mind, I am not criticizing an opposition to religion, just that religion on its face != cult. Narrowing it down to a single element dilutes the definition of a cult.
There is a far cry of difference between the Peoples Temple and the Branch Dravidian’s from the local Lutheran and Methodist churches down the street. The two former being commonly understood as a cult, where the two latter would not be commonly understood to be a cult. But all four had that “ancient deity” worship component, but two of them were unequivocally dangerous where two are essentially harmless organizations.
Adding this seems to betray your intent. While worship of a deity might be a practice of some cults, not every cult worships a deity. Conversely, not every religion that worships a deity could be a called a cult. You including it makes it the defining factor in your example above, beyond the standard common features present in many communities and organizations of people.