Student or Learner
"He thinks that most contemporary parents are not necessarily as concerned with teaching these development skills as they are with the pragmatic aspect."
Does the sentence mean most contemporary parents concern about the pragmatic aspect more than about teaching the development skills?
In short, yes, that's what he means.
A more correct way of putting it would be to say that, in the author's opinion, most contemporary parents seem to be more interested in their children learning the pragmatic aspect than learning these development skills.