Is "want" an action verb?

In a comment John Lawler wrote:

There are a lot of kinds of "action verbs"; that's not a simple category. One test is whether they can occur with Action do in a Wh-cleft sentence, like What he did was drive off a cliff (which shows that drive is an action verb). But I don't think that *What he did was want more chocolate sounds terribly grammatical; we'd be more likely to say What he did was get/eat/make/drink more chocolate, since those are all active. Syntactic tests are best for telling you these things.