That is interesting. In my parish, the deacon is always dispensing the Eucharist along with the priest, and the extraordinary ministers are holding the chalice. I’ve personally always wondered if it was a requirement or just a suggestion that the deacon hold the chalice.
That bolded statement of yours and many here is a very problematic statement. I am sure this is not what you mean but the way you have it worded the Precious Blood is not truly the Eucharist, only the Sacred Body. We have to be careful of how we speak of the sacred species, both species are fully the Eucharistic Jesus; Body, Blood, Soul and Divinity.
The GIRM states it quite well that the proper minister of the Precious Blood is the deacon. In our diocesan Masses here in my diocese it is a priority which is held very strict, priests distribute the Body and deacons the Blood, even though priests sit while the deacons distribute this is how it should be done.
Canon law does not mandate this; it simply states that the ordinary ministers of the Holy Communion are, bishops, priests, and deacons.
GIRM # 182. After the Priest’s Communion, the Deacon receives Communion under both kinds from the Priest himself and then assists the Priest in distributing Communion to the people. If Communion is given under both kinds, the Deacon himself administers the chalice to the communicants; and, when the distribution is over, standing at the altar, he immediately and reverently consumes all of the Blood of Christ that remains, assisted, if the case requires, by other Deacons and Priests.
Keep in mind, this does not prohibit a deacon from distributing the Sacred Body. Also most important, both species, bread and wine, are in fact the full real presence of Jesus, Body, Blood, Soul & Divinity. One species is not more than the other.
Canon Law #910 §1. The ordinary minister of Holy Communion is a bishop, presbyter, or deacon.