I would say to not read much into it, the period thing will be at most just a gag or quick thing in the movie, the article used it because it makes a good clickbait to have a "pixar movie about periods".
They are trying to make the movie to be more interesting than it is really, this concept of "teen changing into creatures as a metaphor for puberty" is pretty much film genre on itself, the 80's had a bunch of these movies after the sucess of "Teen Wolf".
And I liked the trailer of the movie, looks fine for what it is, but at the same time, anyone can tell how the movie is going to play out, because these last Pixar Movies have been on a really safe side, and even the ones that I enjoyed, like Lucca, the played as second-rate to the classic, and I doubt "Turning Red" is going to flip the formula.
Also, the thing about these Disney/Pixar/Calart folks is that they are very much in essense very sheltered "good person" liberals.
They come from high-middle class and rich families, They get their opinons from their aproved peers and they think of themselves very progressive, but when push comes to shove, they stay on their safety zone, this whole "we are pushing buttons! We are normalizing old stigmas, we are making progress" is nothing but play act.