When do you use DOM-based Generation vs. using strings/innerHTML/JQuery to generate DOM content?

I was wondering when to use DOM-based generation versus .innerHTML or appending strings using JQuery's .append method? I read a related post here Should you add HTML to the DOM using innerHTML or by creating new elements one by one? but I'm still unsure of the use case for each method.Is it just a matter of performance where I would always choose one over the other?

Let's say that form is an arbitrary variable:

DOM generation

            var div = document.createElement("div"),
            label = document.createElement("label"),
            input = document.createElement("input");

            div.appendChild(label);
            div.appendChild(input);

            form.appendChild(div);

JQuery

           $(form).append("<div><label></label><input></input></div>")