Sure, but none of that changes the fact that is someone reads that article and says "wow I like music theory!" and orders the best theory books or signs up for a course or lessons, they are going to be PISSED. They will get some books that don't cover what they think music theory is at all and that touch on basically nothing in this article.
On the other hand, if the author had said something like "Intro to the acoustics behind musical scales", then they might go on to order great books like Kyle Gann's or Gareth Loy's and be off to the races.
Redefining normal terms just makes people sound like they have no clue, and that is, 100%, a serious disservice to the reader/student.