I remember a Linear II test where we had to do Gram-Schmidt on a few large matrices and the prof was a stickler for showing steps. I'm not sure if writing was the limiting factor but it was definitely a major factor. Quantum mechanics is also one of those where there can be a lot of intermediate steps if you don't have things like group theory under your belt (and you usually don't if you're in Griffiths).

I think I'd be careful about generalizing your experience, nor mine. If my time in academia has taught me anything is that there is pretty high variance. Not just between schools, but even in a single department. I'm sure everyone that's gone to uni at one point made a decision between "hard professor that I'll learn a lot from but get a bad grade" vs "easier professor which I'll get a good grade." The unicorn where you get both is just more rare. Let's be honest, most people will choose the latter, since the reality is that your grade probably matters more than the actual knowledge. IMO this is a failure of the system. Clear example of Goodhart's Law. But I also don't have a solution to present as measuring knowledge is simply just a difficult task. I'm sure you've all met people who are very smart and didn't do well in school as well as the inverse. The metric used to be "good enough" for "most people" but things have gotten so competitive that optimizing the metric is all that people can see.

When I was a student in the United States in the 1990s, I took many tests in which handwriting speed limited me. It was purely a physical problem. When I was permitted to type, there was no issue. To be clear, I'm speaking of tests in the humanities and social sciences, for which students must write short essays.

Later, when I was a professor in the United States, I saw some of my students grappling with the same problem.

I don't think that my students and I are extraordinary. Other people were, and are, limited by slow handwriting when they are required to handwrite their exams. You could try to identify these people and give them extra time. But the better move would be to stop requiring students to handwrite essays under a time constraint.

I had an abstract algebra exam where for the last question, I couldn’t remember the theorem to do it in a sensible way, but could see that the brute force approach only needed ~40 modular multiplications. That came down to the wire!

Shockingly I got full credit, although the professor probably picked a bigger prime for her next class.

I had a test once where we had to do RSA by hand (with 4 digit numbers), no calculators allowed. There was a lot of handwriting on scrap pieces of paper.

Do humanities have to do handwritten essay tests in the modern world. I had to do those in middle school/high school. No idea if that is still a thing.

Lucky you.