It's worth first noting that there are indeed people for whom a laptop would be much, much better, due to some disorders which produce very quick pain or tiredness in the muscles from writing, with handwriting that may be unreadable even the next day. Such people obviously greatly benefit from laptops.
>There is zero benefit in typing notes vs writing them down. At best, in an unlikely optimistic case, it could be equal.
Have you used org-mode? I really like the ability to organise many notes, link them together (like a small personal wiki) and others. Typing is also significantly less fatiguing, at least for my hands, and I suspect at equal or even faster speed, though I have nothing to back that up, I can type at around 110wpm comfortably.
Typing notes also comes in quite handy if the course comes with digital material. You can copy that graph in, you don't have to draw it out. Tablet-laptops (if there's a word for them, I don't know it) let you draw diagrams with ease. It may also benefit to record what the lecturer is saying with the laptop's microphone, though you can do that with a separate device, it's more useful and convenient to have that as embedded media in your notes.
It also means you can do things other than note-taking. If the course requires some amount of memorisation of facts with definite answers, you can use spaced repetition flashcard programs such as Anki, and fill them in during the lecture, or better, copy-and-paste from your typed up lecture notes. This is especially useful for definitions of things.
Whether laptops are used as they could be used is a different matter, and my own lecturers have told me anecdotes of their misusage, though I think it's unwise to stop people who would otherwise use them well from using them. The people who misuse their laptops will find that not paying attention has consequences.