It also isn't one when "looking at it with the eyes of CS knowledge", given that Common Lisp has very powerful support for OO and procedural programming out of the box, and in order to most effectively use an FP style it's necessary to rely on community developed libraries...
The issue's that Schemes (and Clojure) are way more functional than Common Lisp and e.g. `funcall` feels like a kludge compared to lisp-1. If you read the old CL codebases or modern code, destructive and imperative use are common, so it doesn't feel terribly revisionist (just compared to pascal, c, bliss etc.).
Common Lisp has Lisp in the name, but it is not the same thing. We're talking about languages developed 30 years apart here.
In the 80s, things like immutability just weren't pragmatic due to memory constraints, and CL was designed with pragmatism in mind. Scheme could be argued as FP. Clojure certainly is. CL is not.