Well, according to Cardinal Mahony, who is of course the supreme arbiter in these matters (actually, I think its some kind of heresy or at any rate anathematized doctrinal error to say that communion under one species is not complete).
If they're going to give Communion under both species, I wish they'd use intinction, as the Eastern Rites do. But that would put the EEMS out of a job, and we couldn't have that.
It seems like, to these innovators, Vatican Council II replaced the Council of Trent, and nothing therein decreed any longer applies. Of course, they innovate all kinds of things never mentioned in VCII. The "spirit of", don't you know. How old IS Mahoney, anyway?