not all of the water is getting skimmed. and the water that is skimmed, might not be skimmed 100% with one pass. and if your caulerpa goes toxic, a skimmer is not going to stop it from reaching the display.
i've seen tanks where this happened. the tank i saw looked like skim milk in a matter of minutes. no skimmer is going to slow that down.
the reason you want the skimmer before the refugium is so any pods that escape the refugium have a good chance of being drawn up to the display, to re-populate it, and be a food source.
having pods get processed by the skimmer, is not going to help the tank
.