The proof of the fact that there is no infinite descending chain of clonoids from a finite set into a finite algebra with Mal?cev-term (Aichinger, Mayr 2016) relies on the well quasi-orderedness of a certain set of words. Our goal is to provide short and self-contained proofs of the basic facts of this word ordering and to investigate whether these facts could possibly be used for determining whether there is no infinite antichain of such clonoids.