Multiple objects sharing a boolean variable in a script.

In my 2D game, I have multiple GameObjects that represent ladders. I have a script named "LadderClimb.js" attached to these objects. In that script, there is a boolean variable that determines if the player is on the ladder. I am accessing this variable in another script used to animate the player (play climbing animation when onLadder is true) but the boolean variable onLadder is only affected by the last GameObject added to the scene with the script attached.

Here is my LadderClimb.js code

 var onLadder : boolean;
 private var player : GameObject;
 
 function Start () {
     player = GameObject.FindGameObjectWithTag("Player");
 }
 
 function Update () {
 
     if (onLadder) {
         if (Input.GetKey('w') && player.transform.position.y) {
             //Climb up
             player.transform.position.y += 0.21;
         }
         if (Input.GetKey('s') && player.transform.position.y) {
             //Climb down
             //Debug.Log("Climbing DOWN");
                 player.transform.position.y -= 0.21;    
         
         } 
     }
 }
 
 function OnTriggerEnter (other : Collider) {
     if (other.tag == "Player") {
         onLadder = true;
     }
 }
 
 function OnTriggerExit (other : Collider) {
     if (other.tag == "Player") {
         onLadder = false;
     }
 }
 //end LadderClimb.js

I am trying to access the boolean onLadder from this script:

 var ladderClimb : LadderClimb;
 var climbing : boolean;
 
 function Update () {
     
     ladderClimb = GameObject.FindGameObjectWithTag("Ladder").GetComponent(LadderClimb);
     climbing = ladderClimb.onLadder;
     
     //climbing is only true for last object added to scene... why?
     if (climbing) {
         //Code to animate player
     }
 }
 //end PlayerAnimate.js

I have also tried doing this with prefabs but I get the same results. Why is the boolean variable onLadder only affected by the last object added to the scene?