Yes, actions do speak louder than words. But they have a very limited vocabulary, in fact, actions communicate very few things when it’s said and done. (Or just done for that matter.)
The best actions can do is communicate that I love you (assuming you happen to interpret my actions the way I intend them).
But actions can never communicate that Jesus loves you. Only words can communicate that.
If you’re not speaking the gospel with words, then your actions are nothing but very loud white noise.