Then they are wrong.
The minister of a Sacrament is the one who calls the Sacrament into being.
In Baptism, the Minister is the person who pours the water and pronounces the Tritarian formula.
In Marriage, the Ministers are the Couple themselves.
In the Eucharist, the only Minister is a validily Ordained priest. Only a man who has been validly Ordained to the priesthood can be a Minister of this Sacrament. The term “Lay Eucharist Minister” is therefore an oxymoron.
A deacon, or a lay person, can minister the Communication of the Sacrament, it’s distribution to the people.
A deacon, therefore, would be an Ordinary Minister of Holy Communion (not of the Eucharist)
A layperson may be an Extraordinary Minister of Holy Communion, the communiucation of the Eucharist, not it’s confection.
Anyone who say anything to the contrary either does not understand Catholic Sacramentology or is choosing to violate the instructions of the Vatican on this subject, possibly both.