I've read academic papers on this from my university search Library thing. Tarot was brought by freemasons. And it's based on demonology, even western astrology is as far the types "fire, earthly, water, air".
I don't know about the association you're talking about here, as I've yet to read about a connection between the Tarot and the freemasons. Nor I do really connect it to demonology, or the four elements you describe. It's not that a person couldn't do that, if they wanted to, as the Tarot is highly amorphous in some sense, and can theoretically reflect whatever cogent system you saddle it with. Personally I think it might call on everyone to interact with it differently.
Again I don't know anything about Freemasons, but if the early Tarot decks featured a lot of women in them, and the freemasons didn't even admit them to their club, according to their wikipedia article, then I don't know why they'd like the Tarot that much. But they might like it for some reason, I don't know. It isn't restricted to any group
I don't really personally go for the 'demonology' description, because it's just me interpreting the cards, and it's not me calling on any other entity to do it. But if spirit contact is something someone wants to do with it, that's their business. For me it's just about connecting together different ideas, and it may come off as looking mystical, but it's really just the work of my brain trying to be creative. Take 2 cards, out of the 78, and try to describe how they interact with each other. Is that a sin?
That said, I think the cards do indicate a metaphysical reality, or higher meaning to it all. But I don't think that this frees me from having to do all (or most, if you believe that some amount of human thought is naturally externally inducted) my own thought work.
Nor do I use it for divination