Well in the end, he was actually comparing compojure to wordpress, which is still wrong, but a little better. Clojure is a pretty nice language and if you need to do anything related to concurrency, it's probably the best fit. For example, I recently wrote an app that would handle a request, and executed heavier background tasks in a java executor pool using just 20 lines of clojure in compojure.
You can treat WordPress as a PHP based content management framework, and that is in fact what many people do. Also he is in fact using a Clojure web framework- Compojure. In anycase, contrary to what you are saying, his point is coherent.
His concluding segment is literally called: A Brief Comparison: Clojure vs. Wordpress.
Clojure is a language (dialect) and Wordpress is an application. This is worse than the common mistake of comparing a language to a framework.