It is certainly against the witness of the fathers, if we are to take the likes of HH St. Athanasius the Apostolic seriously (which we should). HH wrote the following concerning the proper worship of the incarnate God-man Jesus Christ (Ep. ad Adelph, paragraph 3; emphasis added):
We do not worship a created thing, but the Master of created things, the Word of God made flesh. Although the flesh itself, considered separately, is a part of created things, yet it has become the body of God. We do not worship this body after having separated it from the Word. Likewise, we do not separate the Word from the body when we wish to worship Him. But knowing that 'the Word was made flesh,' we recognise the Word existing in the flesh as God.
So it would seem that any such devotion to the Body as a fleshly thing separated from the Divinity (as some would argue the focus on individual body parts necessitates) does violate this proper, Orthodox worship. We are never to vivisect Christ, you know?
As to whether or not it is Nestorian, that's a speculation I'm not willing or qualified to make. Just don't do it, period, and let academics fight over what it is.