Issue with Collisions due to Parenting script

After doing some research on how to have a player collide with a moving platform, I used this method from (http://answers.unity3d.com/questions/8207/charactercontroller-falls-through-or-slips-off-mov.html).

I created a child of the moving platform, gave the child a Kinematic-enabled Rigidbody, deactivated the child's render mesh, made it the exact size of the parent moving platform but with a collider that extends just slightly above, set the collider as a Trigger, and gave it this Javascript:

 #pragma strict
 
 function Start () {
 
 }
 
 function OnTriggerEnter (other : Collider)
  { 
  other.transform.parent = gameObject.transform;
  }
    function OnTriggerExit (other : Collider) 
    {
     other.transform.parent = null;
    }

By stopping the platform's movement (with a button press) and then having the player jump on, I get proper collisions. However, when I try to jump back to a nonmoving platform, the player is unable to collide with default nonmoving platforms unless I stop the moving platform's movement. Why is this?