Do you really want a kid coming to your school that is too lazy to research that little bit of information? I would also hope that the coaches doing the recruiting are providing information to the recruits showing them that Division I is Division I.
I don't really have a dog in this fight, other than to say that about the only people who are going to use the proper nomenclature are the FCS schools. The average Joe just doesn't care. To them the power conferences are Division I. Sorry for the use of the term nomenclature, Dave.
BTW, you may or may not agree with Dave K on a topic, but I can assure you that no amount of explaining it to him is going to help. My observation of Dave K is that he is steadfast in his beliefs.