Problem with the Intersect method

Hello Unity community,

I have a problem with the Intersect method because it says me some object intersect when they don't. I have a spider which spins threads. At each end of the thread there is a point which scales the thread accordingly (Rescale Script) I want to get all points which are on a thread. (=> They need to intersect)

In this example:

In the following I have listed want points I wanted to get when I use the Intersect method:

Thread 1: Point 1, 2, 4

Thread 2: Point 1, 3, 5

Thread 3: Point 4, 5

However, my code returns me:

Thread 1: Point 1, 2, 4

Thread 2: Point 1, 3, 5

Thread 3: Point 1, 4, 5

I don't get why Point 1 intersects thread 3. I hope you guys can help me.

For simplification I have simplified the code for only this example.

Rescale Script

Scales the thread accordingly to its start and end point.

 using UnityEngine;
 using System.Collections;
 
 public class Rescale : MonoBehaviour {
 
     public Transform start;
     public Transform end;
     public bool completed = false;
 
     public float factor = 0.5f;
 
     void Start() {
         SetPos(start.position, end.position);
     }
 
     void Update () {
         if (!completed) {
             SetPos (start.position, end.position);
         }
     }
 
     void SetPos(Vector3 start, Vector3 end) {
         var dir = end - start;
         var mid = (dir) / 2.0f + start;
         transform.position = mid;
         transform.rotation = Quaternion.FromToRotation(Vector3.up, dir);
         Vector3 scale = transform.localScale;
         scale.y = dir.magnitude * factor;
         transform.localScale = scale;
     }
 }

Overlap Script:

Returns all points which intersect with the thread. (Script is attached to each thread)

 using UnityEngine;
 using System.Collections;
 using System.Collections.Generic;
 
 
 public class CheckOverlap : MonoBehaviour {
 
     public List<GameObject> reachablepoints;
 
     // Use this for initialization
     void Start () {
         reachablepoints = new List<GameObject> ();
 
         GameObject[] points = GameObject.FindGameObjectsWithTag ("Point");
 
         for (int i = 0; i < points.Length; i++) {
             if (Intersects (points [i].GetComponent<Collider> ().bounds)) {
                 reachablepoints.Add (points [i]);        
             }
                 
         }
     }
 
     bool Intersects(Bounds bounds){
         bool overlapping = GetComponent<Collider>().bounds.Intersects(bounds);
         return overlapping;
     } 
 }