Common lisp isn't functional in that sense.
So while Lisp may not be purely functional, the culture hewed that way.
I specifically remember the breaking point being third-party library where none of the functions had any parameters. Instead, everything was controlled by using dynamic binding to adjust the variables within the functions. Various forum members kept praising its beauty and elegance, but I found it needlessly confusing.
I have a soft spot for the Lisp family of languages. I've been using Emacs for almost thirty years and have used both Scheme and Clojure in production. However, my experiences back in 2006 have left me with a permanent bias against Common Lisp.