I voted for the "mix"... though I think it would be important for me that the "adventure" elements outweigh the "action" elements by a large, large margin.
Besides I think it is important that the action parts fit well into the story (not just action for action's sake) and are not so difficult as to be frustrating to the action-unexperienced gamer.
E.g. that is one of the very few bones I have to pick with "Silver Earring": the Superdog with his unearthly sensory powers almost drove me to distraction...
