Click control get broken after removing and adding a navigation control

[mswedgar]

Here is the step to reproduce it,

function clickme() {
var control = map.getControlsByClass("OpenLayers.Control.Navigation")[0];
map.removeControl(control);
control.destroy();
var newControl = new OpenLayers.Control.Navigation();
map.addControl(newControl);
}

1. Add the code to the file /OpenLayers2.13.1/examples/click.html
2. add a button and make its click event point to this function.

3.run the example, and click the map, you'll see a javascript alert "you clicked XXX"

4.then click the button that just added.

5.click the map again, there is no alert anymore.