different sensitivities at different framerates

I followed Brackeys’ tutorial on a first person controller and I get low sensitivity with VSync (60 FPS) on and high sensitivity without VSync (800-1000 FPS).

I am unsure as to why this happens due to me using delta time.

All help would be greatly appreciated.

using System.Collections;
using System.Collections.Generic;
using UnityEngine;
using UnityEngine.UI;

public class MouseLook : MonoBehaviour
{
    public float mouseSensitivity = 400f;

    public Transform playerBody;

    float yRotation = 0f;

    void Start()
    {
        Cursor.lockState = CursorLockMode.Locked;
    }

    void Update()
    {
        float mouseX = Input.GetAxis("Mouse X") * mouseSensitivity * Time.deltaTime;
        float mouseY = Input.GetAxis("Mouse Y") * mouseSensitivity * Time.deltaTime;

        yRotation -= mouseY;
        yRotation = Mathf.Clamp(yRotation, -90f, 90f);

        transform.localRotation = Quaternion.Euler(yRotation, 0f, 0f);
        playerBody.Rotate(Vector3.up * mouseX);
    }
}

Mouse X and Mouse Y axis are already framerate independent. Multiplying deltaTime will actually introduce framerate dependence to it.

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Thank you!