And this, then, will be my last post. All my questions should be taken as rhetorical. It is very easy to do. Nerve function is very well understood.
Nerves send signals either to or from tissues.
All one has to do is to trace the recurrent larngeal nerve to see whether its sends off any nerves to any tissues. It has been done many times. I've got my hands bloody doing the tracing myself. I also found no tributaries. The loop has no function.