Attaching GameObjects to Classes or Attaching Scripts to GameObjects

Hello everyone,

I am new to Unity but a more or less advanced programmer. I didn't read any tutorial or howto to get experience with unity, so maybe my question is stupid.

On my current projects (only playing around with unity) I created classes like

 public class Player{
    public GameObject geometry;
    public health;
 
    public Player(){
       this.health = 100;
       this.geometry = GameObject.CreatePrimitive(PrimitiveType.Capsule);
    }
 }

in a file called Player.cs. So I have a wrapper class for a GameObject which could contain some more informations like the health attribute.

In an additional file which inherits from MonoBehaviour something like this will happen:

 public someClass : MonoBehaviour{
    private Player player;
    start(){
       this.player = new Player();
       //some more stuff
    }
 
    update(){
       //do cool stuff with the player object
       ...
    }
 }

I'm doing this because its the way I implemented things with some other technologies like WebGL. But is it the correct way to work with unity? I found out that it's more common to create a GameObject and attach a script for the behavior of the GameObject.

While using the second mentioned way of using unity it's f.e. easy to click on a gameObject in the scene and get the attached script as a component. In my case the GameObject doesn't contain a component script which makes it rather hard to get the additional attributes. In some cases I was able to manage this because I hold all clickable objects in an array (or something similar) which means i could iterate over these arrays and compare (f.e. the position) of all objects with the clicked one.

Is it just a bad idea to create classes like I did? Or is there a way to get the wrapper class of an object in the scene without iterating over arrays?

I would love to hear what experienced Unity programmers will say to my questions.

Thanks in advance!