I dislike the style of note taking described in the article, i.e. mindlessly writing down what the professor is saying.
I don't believe however that this is necessarily tied to typing rather than writing with pen and paper.
I have a lecture where no notes or textbook is provided and it is required that you copy everything written on the board. Personally I'm not great at writing fast, so I usually lag behind a bit with writing which makes it that much harder to follow along with what the professor is saying. In a situation like this, writing with pen and paper may be worse than typing (except the specific course I'm talking about is maths and short of writing LaTeX in real time, handwriting is necessary).
From my personal experience as a student the most effective way for me to take notes is to annotate existing material, i.e. slides or lecture notes.
In some classes where material is available beforehand that would be possible by printing it all, bringing it to class, annotating it and then digitalizing it again to make it searchable (and create backups).
However I feel this is highly inefficient and a massive waste of paper. Suppose there are roughly 60 slides per lecture, 8 lectures a week across courses and I can get roughly 4 slides on a sheet of paper in such a way that I can work with them comfortably; that is 120 pages of paper a week!
For many lectures where material is not provided in advance, but only at the beginning of the lecture, presumably to prevent students to only selectively attend the lectures it would be impossible to work in the way I find to be best for me.
That is not to say, the problems described in the article don't exist. I remember many instances of people browsing social media rather than following the lecture. Ignoring any detriment it has on themselves (it is their choice to not pay attention after all) we are left with the negative impact it has on others.
As I outlined in another comment, there are approaches to combating this that I feel to be more appropriate than a blanket ban.
One is to have people using electronic devices to sit somewhere else, usually behind people not using them, so they can only distract other people using electronic devices. This offers people the choice of either using their devices and being potentially exposed to visual noise or not use them and be free from these distractions.
I also had a professor that disallowed electronic devices for everything but slides of the lecture and related material. I can only hypothesize how he managed to do this consistently, but I believe he was able to tell by the expressions on peoples' faces and if people sitting nearby stole glances at other screens.