I have had this discussion with the director of worship for our diocese and the only words found on this are from the GIRM sited here. There is nothing that reserves the action of intinction to a “presidential” action; in other words, only for the priest. In fact, if one was to honestly use the logic completely, the bishop is not mentioned either so is he excluded from distributing by intinction as well? I would hardly consider that. And yes, I know the bishop is a priest and he is also a deacon.
From my discussion with Fr. G, the director of Worship for my diocese, the conclusion is yes, ordinary ministers of Holy Communion, bishop, priest & deacon, can distribute by intinction. But there is a catch. There must be adequate safeguards to avoid profanation. If there are multiple stations, there must be multiple intinction “kits”; ciborium, chalice, and paten. There are kits which can be purchased for distribution by intinction which enables a minister to distribute by intinction without help. The people must be catechized for this too. It cannot be expected that the people will automatically know how to receive by intinction; it will cause confusion if started without teaching.
My pastor uses this method in the parish for daily Mass. When I am there I do not distribute because it is a relatively small congregation, 50 or less, and we have only one intinction set.
Most will disagree with me on these statements and I must say it is in all cases up to the diocesan bishop whether the method can be used at all. So I would defer in these discussions to your particular diocese for direction. Please do not go to any one with the proclamation, “but Dcn. Gary from CAF said…” Most diocese/parishes do not employ this method of distribution so there probably has not been much discussion about this; the only reason I have had in depth discussion with the D of W is because my pastor uses the method.