Nothing in that definition leads me to think it is counterproductive. I think in your mind when you hear the word prayer you think of blind worshippers on their knees asking for something from an allpowerful kinglike deity who controls everything. That isn't what I think of when I hear that word (unless it comes out of the mouths of certain people) though my definition certainly falls within the definition you post.
Quote: 2. An act of communion with God
If you believe that God lives within yourself, and you seek within yourself to find God and to find answers, that is prayer. It is also, from my experience, very effective and does not imply complacency or helplessness and especially not weakness.