I don’t know, but I don’t think either of them did. You may be thinking of David Frum, a fellow neo-con and now leftie who wrote a lot of Bush’s speeches.
Frum certainly took public credit and he deserves the blame. My suspicion about Medved playing a role is just a hunch gleaned from listening to him over the years. A lot of that Salem Radio crew were tight with the Dubya administration and Medved is a speech writer. It’s just a guess on my part.