That may be true, but there are other ways of doing creating problem solving in mathematics that aren't as .. specialized. I'd rather figure out how to teach fields to get you that experience more effectively on more generally useful problems, than regress to proxying a math education with a compass-construction education. [seriously, if you read those old Harvard entrance exams from the 1800s, more than half math is compass problems.]

I actually got to do lots of creative problem solving somehow, but I understand how many did not. Coding is where that really took off but I did math contests and stuff when I was younger.