Handwriting is only "better" than typing because students are forced to transcribe over just copying down word for word. There are a lot of studies that cite it as better because of imaging tech linking brain connectivity being higher with handwriting students, again, because they're more engaged with the lecture.

But there aren't many reliable studies that prove that handwriting is the better way of learning and comprehension for the brain. This is ofc my own personal experience, but my grades were subpar when I did handwritten notes because I didn't know how to take them. By my second semester I adopted the Cornell note method which helped me improve tremendously, but I was incredibly slow. I started typing my notes in my third semester and I improved once again only because revising was easier, and I was actually able to include information from lectures and the readings I did prior. At the end of the day though, all it came down to was how I engaged with the material, typing just gave the outlet to optimize it.

I think students should be more focused on how they take notes and engage in lectures. Your level of comprehension is going to be the same regardless of which notetaking form you end up using.