this 100% !
When I write, it's usually to help my brain think: what I write remains a bit longer in my brain (say minutes instead of seconds). Moreover, using pen and paper is so much more "free form" than typing, and instinctive too. If I have to make drawing, a pen and a few seconds are what I need; with a computer I have to figure out what tools to use (program, icons for line drawing, choosing a color). It's so much more productive.
When I type, it's more like instructing the computer what to do.
However, when I write documentation or an email it's more like formalizing a thought that was first thought about in other ways.
This is mostly true when I'm doing hard thinking tasks such as algorithms, maths, arguments, etc.
I wonder if all of this depends on the tasks or my way of working or if this is more universal... Interestingly, there are a lot of maths tutorials on the web where people use notepads or even paper instead of computers when explaining. The opposite is 3Blue1Brown which presents "finished" product, result of typing.