To adverb or not to adverb?

I'm not a no-adverbs-at-any-price writer. I think, like exclamation marks, they have their place (although I believe Graham Greene would have disagreed). But I have just re-read a Dick Francis* (I'd run out of reading material), and he is quite amazing. Almost every piece of dialogue is qualified with an adverb, some of them quite astonishingly clumsy. In a random couple of pages there are the following; pleasantly, faintly, weakly, shamfacedly, suddenly, disbelievingly, thoughtfully, neutrally, passionately, swiiftly, advisedly. And that's just a couple of pages.

I notice these things much more now that I write more. Points of view, too. Some writers seem to get away with jumping from one POV to another, and it can be quite jarring. But would I have noticed before I had to examine my own writing so carefully? I'm not sure.

* I don't wish to be disparaging about DF; I read, and enjoyed, many of his books while feeding my 3rd baby. He's good holiday reading, and tells a pacy story.