Update/Late Update jitter problem(non FixedUpdate related)

Hey guys i am experiencing an issue where an object placed on the scene follows the main camera and jitters if the camera moves in the LateUpdate() method. The way i understood is late update gets called once per frame after Update() is finished, so there should be really no problem moving the object like that. The way i created the scene:

1. Create a new empty scene.

2. Set the camera to orthographic and attach this script to it:

     public class CameraMoverTest : MonoBehaviour
      {
        private void Update()
        {
            transform.position += new Vector3(1, 0, 0) * Time.deltaTime * 20;
            Debug.Log("Camera Position X: " + transform.position.x);
        }
    
        //// Jitters
        //private void LateUpdate()
        //{
        //    transform.position += new Vector3(1, 0, 0) * Time.deltaTime * 20;
        //    Debug.Log("Camera Position X: " + transform.position.x); 
        //}
     }
   
   

   3.Create a new game object, add SpriteRenderer component and add some sprite to visualize the jitter and add this script to the same game object:

    public class MovedObjectTest : MonoBehaviour
    {
        private Vector2 m_initialPosition;
    
        private void Start()
        {
            m_initialPosition = Camera.main.transform.position;
        }
    
        private void Update()
        {
            Vector3 position = Camera.main.transform.position;
            position.z = 0;
            transform.position = position;
    
            Debug.Log("Object Position X: " + transform.position.x);
        }
    }
    
   

So the object does not jitter if the camera moves in the Update() method, but if you uncomment the LateUpdate() method and comment the Update() you will see a noticeable jittery movement over the X axis of the moving object. Both debug logs shows exactly the same camera and object positions. I can't really see where the problem is. What am i doing wrong? Please explain.

EDIT: So i did some test and came up with some observations. It seems its something to do with the order of execution.

Observation 1

Moved Object - Updating Method : LateUpdate()

Camera - Updating Method : LateUpdate()

Result: Jitter

Observation 2

Moved Object - Updating Method : LateUpdate()

Camera - Updating Method : Update()

Result: NO Jitter

Observation 3

Moved Object - Updating Method : Update()

Camera - Updating Method : Update()

Result: Jitter

Observation 4

Moved Object - Updating Method : Update()

Camera - Updating Method : LateUpdate()

Result: NO Jitter