(Camera follow cursor) Camera moves differently depending on my cursor's location when I start my Game. (Video in post)

Question

Hello everyone,

I've making a 2D-scene where I've written a scriptthat makes the Camera follow the cursor (with boundaries). I have a problem however, the camera moves differently depending on where I start the cursor.

I made a video of how it acts so you can see here: https://streamable.com/q1irw

The first time I start the Game (in the video above) with the cursor in the middle, the cursor makes the camera move as I want. The camera moves around, and when you reach the corners/edges, it has space where you can move the mouse without the camera moving (I think that feels best). This is how I would like the camera to always behave.
However if I start the game/scene with the cursor located left/right/up/down, the camera moves smoothly, but those edges where the mouse can move without the camera moving dissappear, and the camera doesn't reach as far to the edges anymore either.

I would like the camera to move/behave just like it does in case 1 (when I start with the cursor in the middle) all the time, regardless of where the cursor is located at start. Does anyone know I should rewrite my code to achieve this?

The Camera-move-script I'm using (I've just attached it to the camera):

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 
 public class SmoothCameraFollow : MonoBehaviour {
 
     //public Transform target;
     public float cameraSpeed = 2;
     private Vector3 InitMousePos;
     private float xMouseInit;
     private float yMouseInit;
 
     public float MAX_X = 6;
     public float MIN_X = -6;
     public float MAX_Y = 3;
     public float MIN_Y = -3;
 
     void Start()
     {
         //Gets the FIRST cursor-position at the start of game 
         //(to subtract to goal-position in update, 
         //so that the camera moves unless the cursor moves)
         Vector3 InitMousePos = Input.mousePosition;
         InitMousePos.z = transform.position.z;
         InitMousePos = Camera.main.ScreenToWorldPoint(InitMousePos);
         xMouseInit = InitMousePos.x;
         yMouseInit = InitMousePos.y;
     }
 
     void Update()
     {
         //Gets the cursor-position in terms of pixels and 
         //translates it to game-coordinates each frame/update
         Vector3 v3 = Input.mousePosition;
         v3.z = transform.position.z;
         v3 = Camera.main.ScreenToWorldPoint(v3);
 
         //Create the coordinates to where the camera shall move.
         Vector3 newPos = transform.position;
         newPos.x -= v3.x - xMouseInit;
         newPos.y -= v3.y - yMouseInit; // yOffset;
 
 
         //Making sure that the camera doesn't exceed 
         //the min/max values it's allowed to move to!
         if (newPos.x > MAX_X)
         {
             newPos.x = MAX_X;
         }
         if (newPos.x < MIN_X)
         {
             newPos.x = MIN_X;
         }
 
         if (newPos.y > MAX_Y)
         {
             newPos.y = MAX_Y;
         }
         if (newPos.y < MIN_Y)
         {
             newPos.y = MIN_Y;
         }
 
         //Slowly moves the camera linearly with Lerp towards the new position
         transform.position = Vector3.Lerp(transform.position, newPos, cameraSpeed * Time.deltaTime);
     }
 }

Here are the Camera-Settings in case they are important: https://imgur.com/cmQzKIu

Answer 1

I think I managed to solve it on my own. I altered the script so it uses the mouse-input (tells if it's moving and in what direction) rather than where the cursor's pixel-coordinates are at. It doesn't work EXACTLY like in the script above, but works good enough for me :) here the finished script is if someone else needs it. It also has a zoom now. Just attach the script below to your camera and it should work:

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 
 public class SmoothCameraFollow : MonoBehaviour {
 
     //The speed of the movement
     public float cameraSpeed = 0.5f;
     public float speedofIncrease = 3;
 
     //Min and max-values the camera can move to.
     private float MAX_X = 6;
     private float MIN_X = -6;
     private float MAX_Y = 3;
     private float MIN_Y = -3;
 
 
     //The current x and y movement of the cursor
     private float Xmouse;
     private float Ymouse;
 
     //Variables for zoom
     float ZoomAmount = 0; //With Positive and negative values
     public float MaxToClamp = 5;
     public float ROTSpeed = 5;
 
 
     void Start()
     {
 
     }
 
     void Update()
     {
 
         //THE ZOOM
         ZoomAmount += Input.GetAxis("Mouse ScrollWheel");
         ZoomAmount = Mathf.Clamp(ZoomAmount, -MaxToClamp, MaxToClamp);
         var translate = Mathf.Min(Mathf.Abs(Input.GetAxis("Mouse ScrollWheel")), MaxToClamp - Mathf.Abs(ZoomAmount));
         gameObject.transform.Translate(0, 0, translate * ROTSpeed * Mathf.Sign(Input.GetAxis("Mouse ScrollWheel")));
         //END OF ZOOM
 
         Xmouse = Input.GetAxis("Mouse X");
         Ymouse = Input.GetAxis("Mouse Y");
 
         //Fångar upp mus-positionen först i pixlar sen översatt till koord denna frame/update
         Vector3 v3 = Input.mousePosition;
         v3.z = transform.position.z;
         v3 = Camera.main.ScreenToWorldPoint(v3);
 
         //Skapar koordinater dit kameran ska röra sig.
         Vector3 newPos = transform.position;
         newPos.x += Xmouse*speedofIncrease;
         newPos.y += Ymouse*speedofIncrease; 
 
         //Making sure that the camera doesn't exceed the min/max values it's allowed to move to!
         if (newPos.x > MAX_X)
         {
             newPos.x = MAX_X;
         }
         if (newPos.x < MIN_X)
         {
             newPos.x = MIN_X;
         }
 
         if (newPos.y > MAX_Y)
         {
             newPos.y = MAX_Y;
         }
         if (newPos.y < MIN_Y)
         {
             newPos.y = MIN_Y;
         }
 
         //Flyttar långsamt/linjärt med Lerp kameran mot den nya koordinaten.
         transform.position = Vector3.Lerp(transform.position, newPos, cameraSpeed * Time.deltaTime);
     }
 }

(Camera follow cursor) Camera moves differently depending on my cursor's location when I start my Game. (Video in post)

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