Christ wished how the cup could pass from him, but not his will but his Fathers be done. Anotherwords there is a distinction made by Christ, his human will naturally wanting to preserve his life. The composite/oo understanding blurs free will. If Christ is fully man then he has free will to choose which is an attribute of human nature.
The Oriental Orthodox way of understanding this is simple: Christ the Incarnate Logos wished how the cup could pass from Him; Christ the Incarnate Logos said to the Father "not my will but yours be done". It is the entire Incarnate Logos acting and speaking to the Father, not just the human nature, and not jus the divine nature.
As Oriental Orthodox Christ came from two natures, Divine and Human. At His Incarnation and forever thereafter He remained fully divine and fully human, lacking nothing of the human nature (except sin) and lacking nothing of the Divine Nature.
The One who wills, the One who acts, the One who prays, fasts, struggles, the One who sleeps, weeps, bleeds, suffers, heals, forgives sins, raises the dead, casts out demons, the One who was crucified, experienced separation of soul from body at death, descended into Hades, Rose from the dead and ascended into heaven is Christ, Incarnate Logos who is at once perfect (complete) God and perfect (complete Man- body, soul, and spirit). The Two Natures remain in Christ without mingling, without confusion, without alternation, and without separation.
This is the Orthodox Christian understanding of our Lord's Incarnation. Neither of the heretics Arius, Nestorius, Eutyches, or Appolinarius would agree with this. This is what was taught up to the Third Ecumentical Council- This is the Faith of Sts. Athanasius, Cyril, and Dioscorus and today's Coptic, Armenian, Malankarian, Ethiopean, Syrian, and Eretrian Orthodox Christians.
Splitting hairs beyond this with many further definitions would deny 1 Timothy 3:16's statement that the Incarnation is a Mystery that can be so finely defined in human terms. "Great is the mystery of godliness, God was manifest in the flesh"
The Tomb of Leo's way of describing Christ, while clearly not indending to be heretical was accepted by Nestorius, and could be interpreted by Nestorians to mean that each of the natures of Christ does what is according to them without the involvement of the other nature. To talk of the human nature bleeding while His Divinity walks on water and heals the sick. To preserve the fight against Nestorianism, it is better to state, the Logos Incarnate Bleeds, the Logos Incarnate Heals, the Logos Incarnate walked on water.