Sure - and in principle 'someone' should go and setup this pipeline. I can guarantee you that if this process is reasonably transparent to the marketing folks, they will not care.
Or do you expect the marketing folks to go and setup this static page caching?
WP has plugins to publish as a static site already. They just don't seem to be very commonly used. You get the 'ease' of the WP admin UI and the 'safety/speed' of a static site.
