Well, of COURSE Writer's Block is fighting a bunny dragon in the middle of a mountainous wilderness in order to save the president. Why would you expect anything else?
I actually did think up some ways the Writer's Block might "save" the president, but those mostly involved throwing it at 24 hour news networks so they couldn't make stuff up and would be stuck with ridiculously objective reporting (which would turn out to be a double-edged sword given that it would also affect the networks biased in his favor, ultimately making Writer's Block mission a failure).
I sorta like that idea, but it would be awkward and lengthy to convey it in EGS:NP form. A bunny dragon fight was the natural alternative.