What you are saying is definitely true within mathematics and its applications. But the original article was about “The […] skills that students of mathematics

What you are saying is definitely true within mathematics and its applications. But the original article was about “The […] skills that students of mathematics […] will practice and that will come in handy in their lives outside of mathematics” and in the same spirit I wanted to point out habits of thought developed doing mathematics which have a negative effect when the problem you are facing cannot be fully formalized.