Deleting object's reference itself inside a function of object in JavaScript

Question

I want to remove object itself by function of it from a object collection. If I code like below does it course to reference cycle or any other error.

const obj_collec={};

function Obj(id){
    this.id=id;
    this.remove=function(){
        delete obj_collec[this.id]
    }
}

obj_collec['obj1'] = new Obj('obj1');
console.log(obj_collec)

obj_collec['obj1'].remove();
console.log(obj_collec)

I know that I can do that same thing with delete obj_collec['obj1']. But I want to know that what happens if I code like above.