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If a visitor arrives on your site having searched for widgets, but google doesn't think that your page is relevant for this they could still be served relevant ads based on their search string.
As an example of the problem, you might have high rankings in a search engine (other than google) for popular search terms that your pages aren't actually optimised for, hence Google wont serve releveant ads and you'll lose potential click throughs. Or, if your site recieves referals for a wide range of search terms you wont be serving ads relevant for a lot of your referal traffic.
I can't imagine it would take much more code or time to pass the refering search url and generate ads that are better tailored to the specific users.
My apologies if this has been discussed before, but i couldn't find it mentioned in detail.