In short, yes, actions speak louder than words... But we can't stop there. Why do people like playing Charades?... Because it's a challenge to figure out what the person is saying with their actions. Actions may speak louder, but words speak clearer. To effectively communicate you have to have both.
You need the power of actions and the clarity of words. You need to live what you believe, but you also need to be able to explain it to others.
Power without clarity is misunderstood. Clarity without power is ignored.
Why do you think our culture likes the phrase "actions speak louder than words" so much?