Yeah, after seeing this responses I did a bit of looking around and I acknowledge that it is apparently quite frowned upon, at least in English prose (to the point of having a name: "said-bookisms").
No matter how many compared examples I read, after trying hard to "blank" my mind beforehand, I still find myself liking the "exorted/rebuffed/pressed/" version over the "said/said/said" more, so I'm probably just a statistical anomaly.
Another way to check would be to see whether there are well-loved stories which engage in said-bookism.
The idea that authors ought eschew synonyms for "said" might merely be a theory which works fairly well, but doesn't reliably cover the range of what people like in their fiction.
Update: This post has also been superseded - new comments belong in the latest thread.
The second thread has now also exceeded 500 comments, so after 42 chapters of MoR it's time for a new thread.
From the first thread: