I don't think that our Fathers describe nature and essence as synonymous, or hypostasis and person as synonymous, and the thread seems to me to illustrate the problems that are described. You have used the words nature and essence, but do you mean physis and ousia? Or do you mean the same thing, ousia, as the English language usage allows with these two words?
I do think that these words add to the confusion of our present circumstances rather than bring clarity since not only have the always been used differently, even by the same Fathers, but they are still understood differently today.
It seems to me to be better to use a short phrase with understanding and clarity than one of these words with confusion.
We do say, for instance, that we believe Christ is one nature, but clearly the EO hear us saying that Christ is one ousia or essence, which we do not believe. So why use the words nature, ousia or essence? I don't think they are very helpful at all.