Is that prof critical of any of the 16 documents?
I ask because I'm questioning the orthodoxy of your institute.
I believe he critiques them all in as rigorous a way as the length of a course and the ability of the students allows. One could spend an entire course on Lumen Gentium or Gaudium et Spes, but that would be along the lines of a grad level seminar.
Because with me DV is embedded in a larger course that has to do a lot of other things, it only gets an hour or two worth of lecture time, though it is presented in a context where the Scriptural Encyclicals, the Decrees of the PBC, etc. have already been examined, which makes it easier to highlight what it does well and what it is silent on.
At least DV is short compared to some of the other documents.
There is some middle ground between burning the documents of Vatican II and canonizing the spirit of Vatican II. I believe orthodoxy can be found in a portion of the middle ground (and that is by no means to say that the majority of the middle ground is Orthodox, just that it is not in the extremes and reducing things to the extremes is inadequate.)
FWIW—about half of our Faculty frequent the EF at least with some regularity to the extent that it is available in our area.