You persist in referring to EEMs, even though I've explained that the category does not exist. You cling to it, I suppose, because you imagine it bolsters your argument.
Your obstinacy disappoints me, but I can't complain that I'm surprised.
You may be talking past one another.
Novus Ordo churches routinely have what they call Eucharistic Ministers who help distribute Communion. Sometimes they are women. Sometimes there is no logistical need for them, as the congregation is small enough for the priest or the priest and the deacon to do the job in a timely manner. The Eucharistic Ministers often understand their position as a recognition of standing and therefore an entitlement, not conditional on the logistical need for help. It is nevertheless made clear that they merely distribute the sacrament consecrated by the priest.
The Vatican instructs that the above is liturgical abuse. Institutions such as EWTN feature speakers that insist on the term Extraordinary Eucharistic Ministers, who should be men, and should be employed when and only when the priest needs logistical help.