You're right, the site no longer works that way. I disabled the wordpress backend a while ago to make the site static and should have thought more about the impact of breaking those links.
I see that it's confusing to have these broken links in the spec, but it isn't clear to me whether the spec is, er, "prominent"? "successful"? "important"? (etc.) enough to warrant keeping a working and up-to-date php app running on the backend.