People who never worship, or more accurately have no interest in worshipping because they do not believe there is a higher power, are generally called “Atheists”. The term is not limited to people who hold no irrational beliefs, but simply to those who do not believe in a “god”.
However, that’s just an argument about the use of a word, and I don’t mind that you tautologically argue that people who don’t believe in ANYTHING not provable and visible would not believe in astrology and mystical things.
I do think though you overplay the argument when you use your very limited definition of the terms to then argue that another poster is speaking falsely because they use the more general meaning of the term.
Especially when they are using the term as it was used by a study they are quoting from a university, not simply putting in their own words.
My mother never went to church though she believed in God. My atheism bothered her. And she wouldn't have been caught dead at a palm reader's salon.