No, that would not be better. Consider

    document.querySelectorAll('classIWantFacesIn').forEach(elem => {
       const face = generate();
       elem.id = `face-${crypto.randomUUID()}`; // this line should not be needed
       display(elem.id, face);
    });

With the current API I'm required to make ids and make sure they don't collide with other elements. Vs

    document.querySelectorAll('classIWantFacesIn').forEach(elem => {
       const face = generate();
       elem.appendChild(face.domElement);
    });

Now, no id is needed. It's objectively a better API to not need the id.